151947334080 has 224 divisors, whose sum is σ = 536688060480. Its totient is φ = 40470036480.

The previous prime is 151947334031. The next prime is 151947334103. The reversal of 151947334080 is 80433749151.

151947334080 is a `hidden beast` number, since 151 + 94 + 7 + 3 + 3 + 408 + 0 = 666.

It is a super-3 number, since 3×151947334080³ (a number of 35 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7394220 + ... + 7414740.

Almost surely, 2^151947334080 is an apocalyptic number.

151947334080 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 151947334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268344030240).

151947334080 is an abundant number, since it is smaller than the sum of its proper divisors (384740726400).

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

151947334080 is a wasteful number, since it uses less digits than its factorization.

151947334080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21404 (or 21388 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 151947334080 in words is "one hundred fifty-one billion, nine hundred forty-seven million, three hundred thirty-four thousand, eighty".