157950765 has 36 divisors (see below), whose sum is σ = 318484764. Its totient is φ = 72205056.

The previous prime is 157950763. The next prime is 157950799. The reversal of 157950765 is 567059751.

It is a happy number.

157950765 is a `hidden beast` number, since 1 + 579 + 5 + 0 + 76 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39162564 + 118788201 = 6258^2 + 10899^2 .

It is not a de Polignac number, because 157950765 - 2¹ = 157950763 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 157950765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157950763) 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 35 ways as a sum of consecutive naturals, for example, 33612 + ... + 38021.

It is an arithmetic number, because the mean of its divisors is an integer number (8846799).

Almost surely, 2^157950765 is an apocalyptic number.

157950765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157950765 is an abundant number, since it is smaller than the sum of its proper divisors (160533999).

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

157950765 is a wasteful number, since it uses less digits than its factorization.

157950765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71658 (or 71648 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 45.

The square root of 157950765 is about 12567.8464742373. The cubic root of 157950765 is about 540.5558576638. Note that the first 3 decimals are identical.

The spelling of 157950765 in words is "one hundred fifty-seven million, nine hundred fifty thousand, seven hundred sixty-five".