157405365 has 24 divisors (see below), whose sum is σ = 293824440. Its totient is φ = 77491584.

The previous prime is 157405361. The next prime is 157405379. The reversal of 157405365 is 563504751.

It can be written as a sum of positive squares in 4 ways, for example, as 23794884 + 133610481 = 4878^2 + 11559^2 .

It is not a de Polignac number, because 157405365 - 2² = 157405361 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157405361) 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 23 ways as a sum of consecutive naturals, for example, 133950 + ... + 135119.

It is an arithmetic number, because the mean of its divisors is an integer number (12242685).

Almost surely, 2^157405365 is an apocalyptic number.

157405365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

157405365 is a deficient number, since it is larger than the sum of its proper divisors (136419075).

157405365 is a wasteful number, since it uses less digits than its factorization.

157405365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269093 (or 269090 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 157405365 is about 12546.1294828325. The cubic root of 157405365 is about 539.9329649297.

The spelling of 157405365 in words is "one hundred fifty-seven million, four hundred five thousand, three hundred sixty-five".