151125656400 has 360 divisors, whose sum is σ = 539837121824. Its totient is φ = 39122611200.

The previous prime is 151125656393. The next prime is 151125656417. The reversal of 151125656400 is 4656521151.

151125656400 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 2 + 5 + 6 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76056207 + ... + 76058193.

Almost surely, 2^151125656400 is an apocalyptic number.

151125656400 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 151125656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269918560912).

151125656400 is an abundant number, since it is smaller than the sum of its proper divisors (388711465424).

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

151125656400 is a wasteful number, since it uses less digits than its factorization.

151125656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2605 counting only the distinct ones).

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

The spelling of 151125656400 in words is "one hundred fifty-one billion, one hundred twenty-five million, six hundred fifty-six thousand, four hundred".