157992355389001 has 27 divisors (see below), whose sum is σ = 184419160510599. Its totient is φ = 134957827232928.

The previous prime is 157992355388999. The next prime is 157992355389047. The reversal of 157992355389001 is 100983553299751.

The square root of 157992355389001 is 12569501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53355004411401 + 104637350977600 = 7304451^2 + 10229240^2 .

It is not a de Polignac number, because 157992355389001 - 2¹ = 157992355388999 is a prime.

It is a super-2 number, since 2×157992355389001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157992355389601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27011854725 + ... + 27011860573.

Almost surely, 2^{157992355389001} is an apocalyptic number.

157992355389001 is the 12569501-st square number.

157992355389001 is the 6284751-st centered octagonal number.

It is an amenable number.

157992355389001 is a deficient number, since it is larger than the sum of its proper divisors (26426805121598).

157992355389001 is an frugal number, since it uses more digits than its factorization.

157992355389001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12326 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 67.

The spelling of 157992355389001 in words is "one hundred fifty-seven trillion, nine hundred ninety-two billion, three hundred fifty-five million, three hundred eighty-nine thousand, one".