151144758864 has 80 divisors (see below), whose sum is σ = 473281583040. Its totient is φ = 45801440640.

The previous prime is 151144758827. The next prime is 151144758887. The reversal of 151144758864 is 468857441151.

151144758864 is a `hidden beast` number, since 1 + 5 + 1 + 14 + 47 + 588 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 151144758864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15898527 + ... + 15908030.

It is an arithmetic number, because the mean of its divisors is an integer number (5916019788).

Almost surely, 2^151144758864 is an apocalyptic number.

It is an amenable number.

151144758864 is an abundant number, since it is smaller than the sum of its proper divisors (322136824176).

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

151144758864 is a wasteful number, since it uses less digits than its factorization.

151144758864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31806585 (or 31806573 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 151144758864 in words is "one hundred fifty-one billion, one hundred forty-four million, seven hundred fifty-eight thousand, eight hundred sixty-four".