151939915084881 has 343 divisors, whose sum is σ = 292350228851017. Its totient is φ = 78929826018120.

The previous prime is 151939915084879. The next prime is 151939915084883. The reversal of 151939915084881 is 188480519939151.

The square root of 151939915084881 is 12326391.

The cubic root of 151939915084881 is 53361.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

151939915084881 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 3 + 9 + 91 + 50 + 8 + 488 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (151939915084879) and next prime (151939915084883).

It is a tau number, because it is divible by the number of its divisors (343).

It is not a de Polignac number, because 151939915084881 - 2¹ = 151939915084879 is a prime.

It is a super-2 number, since 2×151939915084881² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151939915084883) by changing a digit.

It is a polite number, since it can be written in 342 ways as a sum of consecutive naturals, for example, 13812719553166 + ... + 13812719553176.

Almost surely, 2^{151939915084881} is an apocalyptic number.

151939915084881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

151939915084881 is the 12326391-st square number.

151939915084881 is the 6163196-th centered octagonal number.

It is an amenable number.

151939915084881 is a deficient number, since it is larger than the sum of its proper divisors (140410313766136).

151939915084881 is an frugal number, since it uses more digits than its factorization.

151939915084881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 72.

The spelling of 151939915084881 in words is "one hundred fifty-one trillion, nine hundred thirty-nine billion, nine hundred fifteen million, eighty-four thousand, eight hundred eighty-one".