149907408 has 80 divisors (see below), whose sum is σ = 449256960. Its totient is φ = 42185088.

The previous prime is 149907337. The next prime is 149907419. The reversal of 149907408 is 804709941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 149907408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19183 + ... + 25841.

It is an arithmetic number, because the mean of its divisors is an integer number (5615712).

Almost surely, 2^149907408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149907408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224628480).

149907408 is an abundant number, since it is smaller than the sum of its proper divisors (299349552).

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

149907408 is a wasteful number, since it uses less digits than its factorization.

149907408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6744 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 149907408 is about 12243.6680778270. The cubic root of 149907408 is about 531.2199357750.

The spelling of 149907408 in words is "one hundred forty-nine million, nine hundred seven thousand, four hundred eight".