151063756800 has 648 divisors, whose sum is σ = 553377581568. Its totient is φ = 36333158400.

The previous prime is 151063756759. The next prime is 151063756807. The reversal of 151063756800 is 8657360151.

It is not an unprimeable number, because it can be changed into a prime (151063756807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1189478337 + ... + 1189478463.

Almost surely, 2^151063756800 is an apocalyptic number.

151063756800 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 151063756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276688790784).

151063756800 is an abundant number, since it is smaller than the sum of its proper divisors (402313824768).

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

151063756800 is an equidigital number, since it uses as much as digits as its factorization.

151063756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 151063756800 in words is "one hundred fifty-one billion, sixty-three million, seven hundred fifty-six thousand, eight hundred".