152745768000 has 672 divisors, whose sum is σ = 641409220608. Its totient is φ = 33965568000.

The previous prime is 152745767891. The next prime is 152745768059. The reversal of 152745768000 is 867547251.

152745768000 is a `hidden beast` number, since 1 + 5 + 2 + 74 + 576 + 8 + 0 + 0 + 0 = 666.

152745768000 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 (672).

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 95 ways as a sum of consecutive naturals, for example, 18643905 + ... + 18652095.

Almost surely, 2^152745768000 is an apocalyptic number.

152745768000 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 152745768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320704610304).

152745768000 is an abundant number, since it is smaller than the sum of its proper divisors (488663452608).

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

152745768000 is a wasteful number, since it uses less digits than its factorization.

152745768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8268 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 152745768000 in words is "one hundred fifty-two billion, seven hundred forty-five million, seven hundred sixty-eight thousand".