151737730966969 has 27 divisors (see below), whose sum is σ = 176781371456997. Its totient is φ = 129862170628344.

The previous prime is 151737730966961. The next prime is 151737730966973. The reversal of 151737730966969 is 969669037737151.

The square root of 151737730966969 is 12318187.

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

It is not a de Polignac number, because 151737730966969 - 2³ = 151737730966961 is a prime.

It is a super-2 number, since 2×151737730966969² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151737730966961) 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, 96833267224 + ... + 96833268790.

It is an arithmetic number, because the mean of its divisors is an integer number (6547458202111).

Almost surely, 2^{151737730966969} is an apocalyptic number.

151737730966969 is the 12318187-th square number.

151737730966969 is the 6159094-th centered octagonal number.

It is an amenable number.

151737730966969 is a deficient number, since it is larger than the sum of its proper divisors (25043640490028).

151737730966969 is an frugal number, since it uses more digits than its factorization.

151737730966969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 2430456840, while the sum is 79.

The spelling of 151737730966969 in words is "one hundred fifty-one trillion, seven hundred thirty-seven billion, seven hundred thirty million, nine hundred sixty-six thousand, nine hundred sixty-nine".