151959440715489 has 135 divisors (see below), whose sum is σ = 255832018407273. Its totient is φ = 89820786211200.

The previous prime is 151959440715461. The next prime is 151959440715493. The reversal of 151959440715489 is 984517044959151.

The square root of 151959440715489 is 12327183.

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

151959440715489 is a `hidden beast` number, since 1 + 5 + 1 + 9 + 5 + 9 + 4 + 4 + 0 + 71 + 548 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4902393798225 + 147057046917264 = 2214135^2 + 12126708^2 .

It is not a de Polignac number, because 151959440715489 - 2²³ = 151959432326881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (151959440714489) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 50036034279 + ... + 50036037315.

Almost surely, 2^{151959440715489} is an apocalyptic number.

151959440715489 is the 12327183-rd square number.

151959440715489 is the 6163592-nd centered octagonal number.

It is an amenable number.

151959440715489 is a deficient number, since it is larger than the sum of its proper divisors (103872577691784).

151959440715489 is an frugal number, since it uses more digits than its factorization.

151959440715489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 326592000, while the sum is 72.

The spelling of 151959440715489 in words is "one hundred fifty-one trillion, nine hundred fifty-nine billion, four hundred forty million, seven hundred fifteen thousand, four hundred eighty-nine".