151977772800 has 1620 divisors, whose sum is σ = 678257380416. Its totient is φ = 33443020800.

The previous prime is 151977772763. The next prime is 151977772889. The reversal of 151977772800 is 8277779151.

151977772800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 787449504 + ... + 787449696.

Almost surely, 2^151977772800 is an apocalyptic number.

151977772800 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 151977772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339128690208).

151977772800 is an abundant number, since it is smaller than the sum of its proper divisors (526279607616).

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

151977772800 is a wasteful number, since it uses less digits than its factorization.

151977772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 54.

The spelling of 151977772800 in words is "one hundred fifty-one billion, nine hundred seventy-seven million, seven hundred seventy-two thousand, eight hundred".