152151141151251 has 96 divisors (see below), whose sum is σ = 242372227668480. Its totient is φ = 91969864810560.

The previous prime is 152151141151241. The next prime is 152151141151253.

152151141151251 is a `hidden beast` number, since 1 + 5 + 2 + 1 + 51 + 1 + 41 + 1 + 512 + 51 = 666.

152151141151251 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 152151141151251 - 2⁶ = 152151141151187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152151141151253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11510027520 + ... + 11510040738.

It is an arithmetic number, because the mean of its divisors is an integer number (2524710704880).

Almost surely, 2^{152151141151251} is an apocalyptic number.

152151141151251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152151141151251 is a deficient number, since it is larger than the sum of its proper divisors (90221086517229).

152151141151251 is a wasteful number, since it uses less digits than its factorization.

152151141151251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15718 (or 15693 counting only the distinct ones).

The product of its digits is 10000, while the sum is 36.

The spelling of 152151141151251 in words is "one hundred fifty-two trillion, one hundred fifty-one billion, one hundred forty-one million, one hundred fifty-one thousand, two hundred fifty-one".