139972508641 has 81 divisors (see below), whose sum is σ = 179829725049. Its totient is φ = 108611145216.

The previous prime is 139972508639. The next prime is 139972508657. The reversal of 139972508641 is 146805279931.

It is a happy number.

The square root of 139972508641 is 374129.

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

It can be written as a sum of positive squares in 4 ways, for example, as 99500625 + 139873008016 = 9975^2 + 373996^2 .

It is not a de Polignac number, because 139972508641 - 2¹ = 139972508639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (139972508441) 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, 1443015505 + ... + 1443015601.

It is a 1-persistent number, because it is pandigital, but 2⋅139972508641 = 279945017282 is not.

Almost surely, 2^139972508641 is an apocalyptic number.

139972508641 is the 374129-th square number.

139972508641 is the 187065-th centered octagonal number.

It is an amenable number.

139972508641 is a deficient number, since it is larger than the sum of its proper divisors (39857216408).

139972508641 is an frugal number, since it uses more digits than its factorization.

139972508641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 139972508641 in words is "one hundred thirty-nine billion, nine hundred seventy-two million, five hundred eight thousand, six hundred forty-one".