157123537 has 16 divisors (see below), whose sum is σ = 174085200. Its totient is φ = 141137920.

The previous prime is 157123523. The next prime is 157123543. The reversal of 157123537 is 735321751.

157123537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7403841 + 149719696 = 2721^2 + 12236^2 .

It is a cyclic number.

It is not a de Polignac number, because 157123537 - 2⁷ = 157123409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157123507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42087 + ... + 45667.

It is an arithmetic number, because the mean of its divisors is an integer number (10880325).

Almost surely, 2^157123537 is an apocalyptic number.

157123537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

157123537 is a deficient number, since it is larger than the sum of its proper divisors (16961663).

157123537 is a wasteful number, since it uses less digits than its factorization.

157123537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716.

The product of its digits is 22050, while the sum is 34.

The square root of 157123537 is about 12534.8927797568. The cubic root of 157123537 is about 539.6105296363.

The spelling of 157123537 in words is "one hundred fifty-seven million, one hundred twenty-three thousand, five hundred thirty-seven".