151977081600 has 432 divisors, whose sum is σ = 581529446400. Its totient is φ = 38764154880.

The previous prime is 151977081583. The next prime is 151977081629. The reversal of 151977081600 is 6180779151.

151977081600 is a `hidden beast` number, since 1 + 519 + 7 + 70 + 8 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3955281 + ... + 3993519.

Almost surely, 2^151977081600 is an apocalyptic number.

151977081600 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 151977081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290764723200).

151977081600 is an abundant number, since it is smaller than the sum of its proper divisors (429552364800).

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

151977081600 is a wasteful number, since it uses less digits than its factorization.

151977081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38297 (or 38272 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 151977081600 in words is "one hundred fifty-one billion, nine hundred seventy-seven million, eighty-one thousand, six hundred".