137388420000 has 480 divisors, whose sum is σ = 539280624960. Its totient is φ = 33816960000.

The previous prime is 137388419989. The next prime is 137388420061. The reversal of 137388420000 is 24883731.

137388420000 is a `hidden beast` number, since 1 + 373 + 8 + 84 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7010215 + ... + 7029785.

It is an arithmetic number, because the mean of its divisors is an integer number (1123501302).

Almost surely, 2^137388420000 is an apocalyptic number.

137388420000 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 137388420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269640312480).

137388420000 is an abundant number, since it is smaller than the sum of its proper divisors (401892204960).

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

137388420000 is a wasteful number, since it uses less digits than its factorization.

137388420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19623 (or 19594 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 137388420000 in words is "one hundred thirty-seven billion, three hundred eighty-eight million, four hundred twenty thousand".