157121627 has 16 divisors (see below), whose sum is σ = 173124000. Its totient is φ = 141702912.

The previous prime is 157121603. The next prime is 157121639. The reversal of 157121627 is 726121751.

It is not a de Polignac number, because 157121627 - 2¹⁰ = 157120603 is a prime.

It is a super-2 number, since 2×157121627² = 49374411342254258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 157121593 and 157121602.

It is not an unprimeable number, because it can be changed into a prime (157121677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314624 + ... + 315122.

It is an arithmetic number, because the mean of its divisors is an integer number (10820250).

Almost surely, 2^157121627 is an apocalyptic number.

157121627 is a deficient number, since it is larger than the sum of its proper divisors (16002373).

157121627 is a wasteful number, since it uses less digits than its factorization.

157121627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022.

The product of its digits is 5880, while the sum is 32.

The square root of 157121627 is about 12534.8165921963. The cubic root of 157121627 is about 539.6083431184.

The spelling of 157121627 in words is "one hundred fifty-seven million, one hundred twenty-one thousand, six hundred twenty-seven".