151625904864 has 96 divisors (see below), whose sum is σ = 456556778496. Its totient is φ = 43161776640.

The previous prime is 151625904863. The next prime is 151625904893. The reversal of 151625904864 is 468409526151.

151625904864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151625904863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234187 + ... + 598410.

It is an arithmetic number, because the mean of its divisors is an integer number (4755799776).

Almost surely, 2^151625904864 is an apocalyptic number.

151625904864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151625904864 is an abundant number, since it is smaller than the sum of its proper divisors (304930873632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151625904864 is a wasteful number, since it uses less digits than its factorization.

151625904864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832888 (or 832880 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 151625904864 in words is "one hundred fifty-one billion, six hundred twenty-five million, nine hundred four thousand, eight hundred sixty-four".