152760923403201 has 9 divisors (see below), whose sum is σ = 220654720696449. Its totient is φ = 101840590882836.

The previous prime is 152760923403149. The next prime is 152760923403217. The reversal of 152760923403201 is 102304329067251.

It is a happy number.

The square root of 152760923403201 is 12359649.

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

152760923403201 is a `hidden beast` number, since 1 + 5 + 2 + 7 + 609 + 2 + 3 + 4 + 0 + 32 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 152760923403201 - 2¹³ = 152760923395009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152760923403601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35019006 + ... + 39138888.

Almost surely, 2^{152760923403201} is an apocalyptic number.

152760923403201 is the 12359649-th square number.

152760923403201 is the 6179825-th centered octagonal number.

It is an amenable number.

152760923403201 is a deficient number, since it is larger than the sum of its proper divisors (67893797293248).

152760923403201 is an frugal number, since it uses more digits than its factorization.

152760923403201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8239772 (or 4119886 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 152760923403201 in words is "one hundred fifty-two trillion, seven hundred sixty billion, nine hundred twenty-three million, four hundred three thousand, two hundred one".