137942644320 has 288 divisors, whose sum is σ = 523294297344. Its totient is φ = 32859648000.

The previous prime is 137942644267. The next prime is 137942644331. The reversal of 137942644320 is 23446249731.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461470 + ... + 699170.

It is an arithmetic number, because the mean of its divisors is an integer number (1816994088).

Almost surely, 2^137942644320 is an apocalyptic number.

137942644320 is a gapful number since it is divisible by the number (10) 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 137942644320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261647148672).

137942644320 is an abundant number, since it is smaller than the sum of its proper divisors (385351653024).

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

137942644320 is a wasteful number, since it uses less digits than its factorization.

137942644320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237766 (or 237755 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 137942644320 in words is "one hundred thirty-seven billion, nine hundred forty-two million, six hundred forty-four thousand, three hundred twenty".