149716512 has 240 divisors, whose sum is σ = 493970400. Its totient is φ = 44098560.

The previous prime is 149716507. The next prime is 149716513. The reversal of 149716512 is 215617941.

149716512 is a `hidden beast` number, since 1 + 497 + 165 + 1 + 2 = 666.

It is a super-2 number, since 2×149716512² = 44830067930892288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (149716513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1682164 + ... + 1682252.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^149716512 is an apocalyptic number.

149716512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149716512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246985200).

149716512 is an abundant number, since it is smaller than the sum of its proper divisors (344253888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

149716512 is a wasteful number, since it uses less digits than its factorization.

149716512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 149716512 is about 12235.8698914299. The cubic root of 149716512 is about 530.9943502224.

The spelling of 149716512 in words is "one hundred forty-nine million, seven hundred sixteen thousand, five hundred twelve".