152292443136 has 352 divisors, whose sum is σ = 467101163520. Its totient is φ = 43794432000.

The previous prime is 152292443129. The next prime is 152292443213. The reversal of 152292443136 is 631344292251.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30757461 + ... + 30762411.

Almost surely, 2^152292443136 is an apocalyptic number.

152292443136 is a gapful number since it is divisible by the number (16) 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 152292443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233550581760).

152292443136 is an abundant number, since it is smaller than the sum of its proper divisors (314808720384).

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

152292443136 is a wasteful number, since it uses less digits than its factorization.

152292443136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5023 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 152292443136 in words is "one hundred fifty-two billion, two hundred ninety-two million, four hundred forty-three thousand, one hundred thirty-six".