151911936000 has 1456 divisors, whose sum is σ = 636863748768. Its totient is φ = 35831808000.

The previous prime is 151911935843. The next prime is 151911936013. The reversal of 151911936000 is 639119151.

It is a happy number.

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

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4105727982 + ... + 4105728018.

Almost surely, 2^151911936000 is an apocalyptic number.

151911936000 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 151911936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318431874384).

151911936000 is an abundant number, since it is smaller than the sum of its proper divisors (484951812768).

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

151911936000 is an frugal number, since it uses more digits than its factorization.

151911936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 36.

The spelling of 151911936000 in words is "one hundred fifty-one billion, nine hundred eleven million, nine hundred thirty-six thousand".