151891031824 has 135 divisors (see below), whose sum is σ = 354524948181. Its totient is φ = 62855976960.

The previous prime is 151891031767. The next prime is 151891031869. The reversal of 151891031824 is 428130198151.

The square root of 151891031824 is 389732.

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., 92822590224 + 59068441600 = 304668^2 + 243040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 338287152 + ... + 338287600.

Almost surely, 2^151891031824 is an apocalyptic number.

151891031824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

151891031824 is the 389732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151891031824

151891031824 is an abundant number, since it is smaller than the sum of its proper divisors (202633916357).

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

151891031824 is an frugal number, since it uses more digits than its factorization.

151891031824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 151891031824 in words is "one hundred fifty-one billion, eight hundred ninety-one million, thirty-one thousand, eight hundred twenty-four".