152997540201 has 81 divisors (see below), whose sum is σ = 252819354333. Its totient is φ = 92514561480.

The previous prime is 152997540191. The next prime is 152997540239. The reversal of 152997540201 is 102045799251.

The square root of 152997540201 is 391149.

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

152997540201 is a `hidden beast` number, since 15 + 2 + 9 + 97 + 540 + 2 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 152997540201 - 2⁵ = 152997540169 is a prime.

It is a super-2 number, since 2×152997540201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (152997540251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 348513540 + ... + 348513978.

Almost surely, 2^152997540201 is an apocalyptic number.

152997540201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152997540201 is the 391149-th square number.

152997540201 is the 195575-th centered octagonal number.

It is an amenable number.

152997540201 is a deficient number, since it is larger than the sum of its proper divisors (99821814132).

152997540201 is an frugal number, since it uses more digits than its factorization.

152997540201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 152997540201 in words is "one hundred fifty-two billion, nine hundred ninety-seven million, five hundred forty thousand, two hundred one".