137980132992 has 320 divisors, whose sum is σ = 456492072960. Its totient is φ = 41084651520.

The previous prime is 137980132963. The next prime is 137980133033. The reversal of 137980132992 is 299231089731.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4161793 + ... + 4194815.

It is an arithmetic number, because the mean of its divisors is an integer number (1426537728).

Almost surely, 2^137980132992 is an apocalyptic number.

137980132992 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 137980132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228246036480).

137980132992 is an abundant number, since it is smaller than the sum of its proper divisors (318511939968).

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

137980132992 is a wasteful number, since it uses less digits than its factorization.

137980132992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33093 (or 33072 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 137980132992 in words is "one hundred thirty-seven billion, nine hundred eighty million, one hundred thirty-two thousand, nine hundred ninety-two".