151554920400 has 1440 divisors, whose sum is σ = 626221919232. Its totient is φ = 34936012800.

The previous prime is 151554920381. The next prime is 151554920417. The reversal of 151554920400 is 4029455151.

151554920400 is a `hidden beast` number, since 1 + 51 + 5 + 549 + 20 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2076094764 + ... + 2076094836.

Almost surely, 2^151554920400 is an apocalyptic number.

151554920400 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 151554920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313110959616).

151554920400 is an abundant number, since it is smaller than the sum of its proper divisors (474666998832).

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

151554920400 is a wasteful number, since it uses less digits than its factorization.

151554920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 151554920400 in words is "one hundred fifty-one billion, five hundred fifty-four million, nine hundred twenty thousand, four hundred".