152250526152256 has 105 divisors (see below), whose sum is σ = 352466053081089. Its totient is φ = 65248152544512.

The previous prime is 152250526152239. The next prime is 152250526152293. The reversal of 152250526152256 is 652251625052251.

It is a happy number.

The square root of 152250526152256 is 12338984.

It is a perfect power (a square), and thus also a powerful number.

152250526152256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 101059592065600 + 51190934086656 = 10052840^2 + 7154784^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4836865990 + ... + 4836897466.

Almost surely, 2^{152250526152256} is an apocalyptic number.

152250526152256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152250526152256 is the 12338984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152250526152256

152250526152256 is an abundant number, since it is smaller than the sum of its proper divisors (200215526928833).

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

152250526152256 is an frugal number, since it uses more digits than its factorization.

152250526152256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62994 (or 31486 counting only the distinct ones).

The product of its (nonzero) digits is 3600000, while the sum is 49.

152250526152256 divided by its sum of digits (49) gives a square (3107153594944 = 1762712²).

The spelling of 152250526152256 in words is "one hundred fifty-two trillion, two hundred fifty billion, five hundred twenty-six million, one hundred fifty-two thousand, two hundred fifty-six".