152236905408 has 280 divisors, whose sum is σ = 518442256992. Its totient is φ = 43268898816.

The previous prime is 152236905391. The next prime is 152236905421. The reversal of 152236905408 is 804509632251.

152236905408 is a `hidden beast` number, since 1 + 5 + 2 + 236 + 9 + 0 + 5 + 408 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6992716 + ... + 7014452.

Almost surely, 2^152236905408 is an apocalyptic number.

152236905408 is a gapful number since it is divisible by the number (18) 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 152236905408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259221128496).

152236905408 is an abundant number, since it is smaller than the sum of its proper divisors (366205351584).

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

152236905408 is a wasteful number, since it uses less digits than its factorization.

152236905408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21961 (or 21942 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 152236905408 in words is "one hundred fifty-two billion, two hundred thirty-six million, nine hundred five thousand, four hundred eight".