151131876480 has 384 divisors, whose sum is σ = 573992939520. Its totient is φ = 36409319424.

The previous prime is 151131876457. The next prime is 151131876499. The reversal of 151131876480 is 84678131151.

151131876480 is a `hidden beast` number, since 151 + 1 + 3 + 18 + 7 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 47 ways as a sum of consecutive naturals, for example, 3497889 + ... + 3540831.

It is an arithmetic number, because the mean of its divisors is an integer number (1494773280).

Almost surely, 2^151131876480 is an apocalyptic number.

151131876480 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 151131876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286996469760).

151131876480 is an abundant number, since it is smaller than the sum of its proper divisors (422861063040).

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

151131876480 is a wasteful number, since it uses less digits than its factorization.

151131876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43028 (or 43013 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 151131876480 in words is "one hundred fifty-one billion, one hundred thirty-one million, eight hundred seventy-six thousand, four hundred eighty".