152135776 has 48 divisors (see below), whose sum is σ = 324039744. Its totient is φ = 69894144.

The previous prime is 152135773. The next prime is 152135779. The reversal of 152135776 is 677531251.

It is an interprime number because it is at equal distance from previous prime (152135773) and next prime (152135779).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152135773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106201 + ... + 107623.

It is an arithmetic number, because the mean of its divisors is an integer number (6750828).

Almost surely, 2^152135776 is an apocalyptic number.

152135776 is a gapful number since it is divisible by the number (16) 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 152135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162019872).

152135776 is an abundant number, since it is smaller than the sum of its proper divisors (171903968).

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

152135776 is a wasteful number, since it uses less digits than its factorization.

152135776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1695 counting only the distinct ones).

The product of its digits is 44100, while the sum is 37.

The square root of 152135776 is about 12334.3332207299. Note that the first 3 decimals coincide. The cubic root of 152135776 is about 533.8391881119.

The spelling of 152135776 in words is "one hundred fifty-two million, one hundred thirty-five thousand, seven hundred seventy-six".