151995801600 has 252 divisors, whose sum is σ = 544456107936. Its totient is φ = 40531722240.

The previous prime is 151995801541. The next prime is 151995801623. The reversal of 151995801600 is 6108599151.

151995801600 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 9 + 580 + 1 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1801969 + ... + 1884431.

Almost surely, 2^151995801600 is an apocalyptic number.

151995801600 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 151995801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272228053968).

151995801600 is an abundant number, since it is smaller than the sum of its proper divisors (392460306336).

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

151995801600 is an equidigital number, since it uses as much as digits as its factorization.

151995801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82505 (or 82473 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 151995801600 in words is "one hundred fifty-one billion, nine hundred ninety-five million, eight hundred one thousand, six hundred".