151540511472 has 240 divisors, whose sum is σ = 503815253760. Its totient is φ = 43196115456.

The previous prime is 151540511459. The next prime is 151540511501. The reversal of 151540511472 is 274115045151.

151540511472 is a `hidden beast` number, since 1 + 51 + 54 + 0 + 511 + 47 + 2 = 666.

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, 12050404 + ... + 12062972.

It is an arithmetic number, because the mean of its divisors is an integer number (2099230224).

Almost surely, 2^151540511472 is an apocalyptic number.

151540511472 is a gapful number since it is divisible by the number (12) 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 151540511472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251907626880).

151540511472 is an abundant number, since it is smaller than the sum of its proper divisors (352274742288).

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

151540511472 is a wasteful number, since it uses less digits than its factorization.

151540511472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13042 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The spelling of 151540511472 in words is "one hundred fifty-one billion, five hundred forty million, five hundred eleven thousand, four hundred seventy-two".