152941152000 has 1728 divisors, whose sum is σ = 662596841088. Its totient is φ = 30965760000.

The previous prime is 152941151963. The next prime is 152941152031. The reversal of 152941152000 is 251149251.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2507231970 + ... + 2507232030.

It is an arithmetic number, because the mean of its divisors is an integer number (383447246).

Almost surely, 2^152941152000 is an apocalyptic number.

152941152000 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 152941152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331298420544).

152941152000 is an abundant number, since it is smaller than the sum of its proper divisors (509655689088).

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

152941152000 is a wasteful number, since it uses less digits than its factorization.

152941152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 152941152000 in words is "one hundred fifty-two billion, nine hundred forty-one million, one hundred fifty-two thousand".