140100625360921 has 81 divisors (see below), whose sum is σ = 154359384599511. Its totient is φ = 127137825980928.

The previous prime is 140100625360903. The next prime is 140100625360931. The reversal of 140100625360921 is 129063526001041.

The square root of 140100625360921 is 11836411.

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

It can be written as a sum of positive squares in 13 ways, for example, as 136880897551321 + 3219727809600 = 11699611^2 + 1794360^2 .

It is not a de Polignac number, because 140100625360921 - 2⁷ = 140100625360793 is a prime.

It is a super-3 number, since 3×140100625360921³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (140100625360901) 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, 940272653355 + ... + 940272653503.

Almost surely, 2^{140100625360921} is an apocalyptic number.

140100625360921 is the 11836411-st square number.

140100625360921 is the 5918206-th centered octagonal number.

It is an amenable number.

140100625360921 is a deficient number, since it is larger than the sum of its proper divisors (14258759238590).

140100625360921 is an frugal number, since it uses more digits than its factorization.

140100625360921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 140100625360921 in words is "one hundred forty trillion, one hundred billion, six hundred twenty-five million, three hundred sixty thousand, nine hundred twenty-one".