152433487872 has 312 divisors, whose sum is σ = 472452293040. Its totient is φ = 49049763840.

The previous prime is 152433487823. The next prime is 152433487931. The reversal of 152433487872 is 278784334251.

It is a happy number.

152433487872 is a `hidden beast` number, since 1 + 52 + 4 + 33 + 487 + 87 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28861872 + ... + 28867152.

It is an arithmetic number, because the mean of its divisors is an integer number (1514270170).

Almost surely, 2^152433487872 is an apocalyptic number.

152433487872 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 152433487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236226146520).

152433487872 is an abundant number, since it is smaller than the sum of its proper divisors (320018805168).

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

152433487872 is an frugal number, since it uses more digits than its factorization.

152433487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5315 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 152433487872 in words is "one hundred fifty-two billion, four hundred thirty-three million, four hundred eighty-seven thousand, eight hundred seventy-two".