152809420032 has 216 divisors, whose sum is σ = 450746150400. Its totient is φ = 49765847040.

The previous prime is 152809419991. The next prime is 152809420051. The reversal of 152809420032 is 230024908251.

It is a happy number.

152809420032 is a `hidden beast` number, since 152 + 80 + 9 + 420 + 0 + 3 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 98649594 + ... + 98651142.

Almost surely, 2^152809420032 is an apocalyptic number.

152809420032 is a gapful number since it is divisible by the number (12) 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 152809420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225373075200).

152809420032 is an abundant number, since it is smaller than the sum of its proper divisors (297936730368).

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

152809420032 is a wasteful number, since it uses less digits than its factorization.

152809420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 152809420032 in words is "one hundred fifty-two billion, eight hundred nine million, four hundred twenty thousand, thirty-two".