152890605000 has 1280 divisors, whose sum is σ = 665067110400. Its totient is φ = 31726080000.

The previous prime is 152890604959. The next prime is 152890605019. The reversal of 152890605000 is 506098251.

It is a happy number.

152890605000 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 90 + 60 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 498014847 + ... + 498015153.

It is an arithmetic number, because the mean of its divisors is an integer number (519583680).

Almost surely, 2^152890605000 is an apocalyptic number.

152890605000 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 152890605000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332533555200).

152890605000 is an abundant number, since it is smaller than the sum of its proper divisors (512176505400).

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

152890605000 is a wasteful number, since it uses less digits than its factorization.

152890605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 152890605000 in words is "one hundred fifty-two billion, eight hundred ninety million, six hundred five thousand".