151932804468480 has 1152 divisors, whose sum is σ = 623073520742400. Its totient is φ = 34339166355456.

The previous prime is 151932804468461. The next prime is 151932804468499. The reversal of 151932804468480 is 84864408239151.

It is a happy number.

151932804468480 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 32 + 8 + 0 + 446 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (151932804468461) and next prime (151932804468499).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×151932804468480³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36583866084 + ... + 36583870236.

It is an arithmetic number, because the mean of its divisors is an integer number (540862431200).

Almost surely, 2^{151932804468480} is an apocalyptic number.

151932804468480 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 151932804468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311536760371200).

151932804468480 is an abundant number, since it is smaller than the sum of its proper divisors (471140716273920).

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

151932804468480 is a wasteful number, since it uses less digits than its factorization.

151932804468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 151932804468480 in words is "one hundred fifty-one trillion, nine hundred thirty-two billion, eight hundred four million, four hundred sixty-eight thousand, four hundred eighty".