152372655252 has 192 divisors, whose sum is σ = 409334553600. Its totient is φ = 49609138176.

The previous prime is 152372655217. The next prime is 152372655269. The reversal of 152372655252 is 252556273251.

152372655252 is a `hidden beast` number, since 1 + 5 + 23 + 7 + 26 + 552 + 52 = 666.

It is a super-3 number, since 3×152372655252³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152372655198 and 152372655207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67034788 + ... + 67037060.

It is an arithmetic number, because the mean of its divisors is an integer number (2131950800).

Almost surely, 2^152372655252 is an apocalyptic number.

152372655252 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 152372655252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204667276800).

152372655252 is an abundant number, since it is smaller than the sum of its proper divisors (256961898348).

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

152372655252 is an equidigital number, since it uses as much as digits as its factorization.

152372655252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2454 counting only the distinct ones).

The product of its digits is 1260000, while the sum is 45.

The spelling of 152372655252 in words is "one hundred fifty-two billion, three hundred seventy-two million, six hundred fifty-five thousand, two hundred fifty-two".