152845056000 has 1728 divisors, whose sum is σ = 704102293440. Its totient is φ = 32248627200.

The previous prime is 152845055981. The next prime is 152845056059. The reversal of 152845056000 is 650548251.

152845056000 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 45 + 0 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×152845056000² (a number of 23 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 11757311994 + ... + 11757312006.

It is an arithmetic number, because the mean of its divisors is an integer number (407466605).

Almost surely, 2^152845056000 is an apocalyptic number.

152845056000 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 152845056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352051146720).

152845056000 is an abundant number, since it is smaller than the sum of its proper divisors (551257237440).

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

152845056000 is an frugal number, since it uses more digits than its factorization.

152845056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 152845056000 in words is "one hundred fifty-two billion, eight hundred forty-five million, fifty-six thousand".