151701788160 has 1440 divisors, whose sum is σ = 633324339648. Its totient is φ = 33283768320.

The previous prime is 151701788159. The next prime is 151701788167. The reversal of 151701788160 is 61887107151.

It is a happy number.

151701788160 is a `hidden beast` number, since 1 + 517 + 0 + 1 + 78 + 8 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151701788167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2486914530 + ... + 2486914590.

Almost surely, 2^151701788160 is an apocalyptic number.

151701788160 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 151701788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316662169824).

151701788160 is an abundant number, since it is smaller than the sum of its proper divisors (481622551488).

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

151701788160 is a wasteful number, since it uses less digits than its factorization.

151701788160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 45.

The spelling of 151701788160 in words is "one hundred fifty-one billion, seven hundred one million, seven hundred eighty-eight thousand, one hundred sixty".