152956081216 has 189 divisors, whose sum is σ = 335040733143. Its totient is φ = 69270923520.

The previous prime is 152956081199. The next prime is 152956081219. The reversal of 152956081216 is 612180659251.

The square root of 152956081216 is 391096.

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

It is not an unprimeable number, because it can be changed into a prime (152956081219) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1842844311 + ... + 1842844393.

Almost surely, 2^152956081216 is an apocalyptic number.

152956081216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152956081216 is the 391096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152956081216

152956081216 is an abundant number, since it is smaller than the sum of its proper divisors (182084651927).

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

152956081216 is an frugal number, since it uses more digits than its factorization.

152956081216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 152956081216 in words is "one hundred fifty-two billion, nine hundred fifty-six million, eighty-one thousand, two hundred sixteen".