151442016000 has 576 divisors, whose sum is σ = 557976287232. Its totient is φ = 36096000000.

The previous prime is 151442015993. The next prime is 151442016023. The reversal of 151442016000 is 610244151.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64414825 + ... + 64417175.

It is an arithmetic number, because the mean of its divisors is an integer number (968708832).

Almost surely, 2^151442016000 is an apocalyptic number.

151442016000 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 151442016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278988143616).

151442016000 is an abundant number, since it is smaller than the sum of its proper divisors (406534271232).

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

151442016000 is a wasteful number, since it uses less digits than its factorization.

151442016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 151442016000 in words is "one hundred fifty-one billion, four hundred forty-two million, sixteen thousand".