152739490761 has 81 divisors (see below), whose sum is σ = 262881377031. Its totient is φ = 85354869600.

The previous prime is 152739490751. The next prime is 152739490769. The reversal of 152739490761 is 167094937251.

The square root of 152739490761 is 390819.

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

152739490761 is a `hidden beast` number, since 1 + 52 + 7 + 39 + 490 + 76 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22594599225 + 130144891536 = 150315^2 + 360756^2 .

It is not a de Polignac number, because 152739490761 - 2³¹ = 150592007113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 152739490698 and 152739490707.

It is not an unprimeable number, because it can be changed into a prime (152739490769) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 167660896 + ... + 167661806.

Almost surely, 2^152739490761 is an apocalyptic number.

152739490761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152739490761 is the 390819-th square number.

152739490761 is the 195410-th centered octagonal number.

It is an amenable number.

152739490761 is a deficient number, since it is larger than the sum of its proper divisors (110141886270).

152739490761 is an equidigital number, since it uses as much as digits as its factorization.

152739490761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 152739490761 in words is "one hundred fifty-two billion, seven hundred thirty-nine million, four hundred ninety thousand, seven hundred sixty-one".