140538670272 has 1680 divisors, whose sum is σ = 588028950432. Its totient is φ = 32606945280.

The previous prime is 140538670249. The next prime is 140538670273. The reversal of 140538670272 is 272076835041.

140538670272 is a `hidden beast` number, since 1 + 40 + 538 + 6 + 7 + 0 + 2 + 72 = 666.

It is a super-2 number, since 2×140538670272² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140538670273) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1925187228 + ... + 1925187300.

Almost surely, 2^140538670272 is an apocalyptic number.

140538670272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140538670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294014475216).

140538670272 is an abundant number, since it is smaller than the sum of its proper divisors (447490280160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140538670272 is a wasteful number, since it uses less digits than its factorization.

140538670272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 140538670272 in words is "one hundred forty billion, five hundred thirty-eight million, six hundred seventy thousand, two hundred seventy-two".