137989612800 has 1728 divisors, whose sum is σ = 593999481600. Its totient is φ = 31054233600.

The previous prime is 137989612759. The next prime is 137989612801. The reversal of 137989612800 is 8216989731.

137989612800 is a `hidden beast` number, since 13 + 7 + 9 + 8 + 9 + 612 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×137989612800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137989612801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2262124770 + ... + 2262124830.

It is an arithmetic number, because the mean of its divisors is an integer number (343749700).

Almost surely, 2^137989612800 is an apocalyptic number.

137989612800 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 137989612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296999740800).

137989612800 is an abundant number, since it is smaller than the sum of its proper divisors (456009868800).

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

137989612800 is a wasteful number, since it uses less digits than its factorization.

137989612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 137989612800 in words is "one hundred thirty-seven billion, nine hundred eighty-nine million, six hundred twelve thousand, eight hundred".