138227220960 has 96 divisors (see below), whose sum is σ = 437034800160. Its totient is φ = 36723529728.

The previous prime is 138227220931. The next prime is 138227220973. The reversal of 138227220960 is 69022722831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×138227220960² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406147 + ... + 664386.

It is an arithmetic number, because the mean of its divisors is an integer number (4552445835).

Almost surely, 2^138227220960 is an apocalyptic number.

138227220960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138227220960 is an abundant number, since it is smaller than the sum of its proper divisors (298807579200).

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

138227220960 is a wasteful number, since it uses less digits than its factorization.

138227220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070820 (or 1070812 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 138227220960 in words is "one hundred thirty-eight billion, two hundred twenty-seven million, two hundred twenty thousand, nine hundred sixty".