152250192000 has 1024 divisors, whose sum is σ = 600200640000. Its totient is φ = 38295244800.

The previous prime is 152250191993. The next prime is 152250192043. The reversal of 152250192000 is 291052251.

152250192000 is a `hidden beast` number, since 1 + 522 + 50 + 1 + 92 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 664847886 + ... + 664848114.

Almost surely, 2^152250192000 is an apocalyptic number.

152250192000 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 152250192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300100320000).

152250192000 is an abundant number, since it is smaller than the sum of its proper divisors (447950448000).

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

152250192000 is an frugal number, since it uses more digits than its factorization.

152250192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 152250192000 in words is "one hundred fifty-two billion, two hundred fifty million, one hundred ninety-two thousand".