138892476000 has 96 divisors (see below), whose sum is σ = 455011790688. Its totient is φ = 37037990400.

The previous prime is 138892475993. The next prime is 138892476007. The reversal of 138892476000 is 674298831.

It is an interprime number because it is at equal distance from previous prime (138892475993) and next prime (138892476007).

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

It is a super-2 number, since 2×138892476000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138892476007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5775187 + ... + 5799186.

It is an arithmetic number, because the mean of its divisors is an integer number (4739706153).

Almost surely, 2^138892476000 is an apocalyptic number.

138892476000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138892476000 is an abundant number, since it is smaller than the sum of its proper divisors (316119314688).

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

138892476000 is a wasteful number, since it uses less digits than its factorization.

138892476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11574401 (or 11574383 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 138892476000 in words is "one hundred thirty-eight billion, eight hundred ninety-two million, four hundred seventy-six thousand".