152311437468304 has 45 divisors (see below), whose sum is σ = 298465044060937. Its totient is φ = 75297864405632.

The previous prime is 152311437468251. The next prime is 152311437468313. The reversal of 152311437468304 is 403864734113251.

The square root of 152311437468304 is 12341452.

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

It can be written as a sum of positive squares in only one way, i.e., 29247026434704 + 123064411033600 = 5408052^2 + 11093440^2 .

It is a super-2 number, since 2×152311437468304² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4393539579 + ... + 4393574245.

Almost surely, 2^{152311437468304} is an apocalyptic number.

152311437468304 is the 12341452-nd square number.

It is an amenable number.

152311437468304 is a deficient number, since it is larger than the sum of its proper divisors (146153606592633).

152311437468304 is an frugal number, since it uses more digits than its factorization.

152311437468304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69520 (or 34758 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 152311437468304 in words is "one hundred fifty-two trillion, three hundred eleven billion, four hundred thirty-seven million, four hundred sixty-eight thousand, three hundred four".