15145978761 has 9 divisors (see below), whose sum is σ = 21878058189. Its totient is φ = 10097073036.

The previous prime is 15145978733. The next prime is 15145978781. The reversal of 15145978761 is 16787954151.

The square root of 15145978761 is 123069.

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

15145978761 is a `hidden beast` number, since 1 + 51 + 459 + 7 + 87 + 61 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 15145978761 - 2¹³ = 15145970569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15145978698 and 15145978707.

It is not an unprimeable number, because it can be changed into a prime (15145978781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 348696 + ... + 389718.

Almost surely, 2^15145978761 is an apocalyptic number.

15145978761 is the 123069-th square number.

15145978761 is the 61535-th centered octagonal number.

It is an amenable number.

15145978761 is a deficient number, since it is larger than the sum of its proper divisors (6732079428).

15145978761 is an frugal number, since it uses more digits than its factorization.

15145978761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82052 (or 41026 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 15145978761 in words is "fifteen billion, one hundred forty-five million, nine hundred seventy-eight thousand, seven hundred sixty-one".