151646564160 has 1008 divisors, whose sum is σ = 659465718912. Its totient is φ = 31701196800.

The previous prime is 151646564137. The next prime is 151646564203. The reversal of 151646564160 is 61465646151.

151646564160 is a `hidden beast` number, since 1 + 516 + 4 + 65 + 64 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 240327045 + ... + 240327675.

It is an arithmetic number, because the mean of its divisors is an integer number (654231864).

Almost surely, 2^151646564160 is an apocalyptic number.

151646564160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151646564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329732859456).

151646564160 is an abundant number, since it is smaller than the sum of its proper divisors (507819154752).

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

151646564160 is a wasteful number, since it uses less digits than its factorization.

151646564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 151646 and 564160, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 151646564160 in words is "one hundred fifty-one billion, six hundred forty-six million, five hundred sixty-four thousand, one hundred sixty".