151384412160 has 624 divisors, whose sum is σ = 573168173760. Its totient is φ = 38220595200.

The previous prime is 151384412143. The next prime is 151384412177. The reversal of 151384412160 is 61214483151.

151384412160 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 84 + 412 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (151384412143) and next prime (151384412177).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94555360 + ... + 94556960.

It is an arithmetic number, because the mean of its divisors is an integer number (918538740).

Almost surely, 2^151384412160 is an apocalyptic number.

151384412160 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 151384412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286584086880).

151384412160 is an abundant number, since it is smaller than the sum of its proper divisors (421783761600).

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

151384412160 is an equidigital number, since it uses as much as digits as its factorization.

151384412160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 151384412160 in words is "one hundred fifty-one billion, three hundred eighty-four million, four hundred twelve thousand, one hundred sixty".