151532964000 has 768 divisors, whose sum is σ = 605436249600. Its totient is φ = 36509184000.

The previous prime is 151532963987. The next prime is 151532964007. The reversal of 151532964000 is 469235151.

151532964000 is a `hidden beast` number, since 1 + 5 + 1 + 5 + 3 + 2 + 9 + 640 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (151532964007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 272051722 + ... + 272052278.

It is an arithmetic number, because the mean of its divisors is an integer number (788328450).

Almost surely, 2^151532964000 is an apocalyptic number.

151532964000 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 151532964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302718124800).

151532964000 is an abundant number, since it is smaller than the sum of its proper divisors (453903285600).

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

151532964000 is a wasteful number, since it uses less digits than its factorization.

151532964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 151532964000 in words is "one hundred fifty-one billion, five hundred thirty-two million, nine hundred sixty-four thousand".