137434968000 has 672 divisors, whose sum is σ = 556271509248. Its totient is φ = 33312384000.

The previous prime is 137434967939. The next prime is 137434968023. The reversal of 137434968000 is 869434731.

137434968000 is a `hidden beast` number, since 13 + 74 + 3 + 496 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×137434968000² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 21380787 + ... + 21387213.

It is an arithmetic number, because the mean of its divisors is an integer number (827784984).

Almost surely, 2^137434968000 is an apocalyptic number.

137434968000 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 137434968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278135754624).

137434968000 is an abundant number, since it is smaller than the sum of its proper divisors (418836541248).

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

137434968000 is an equidigital number, since it uses as much as digits as its factorization.

137434968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 6448 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 137434968000 in words is "one hundred thirty-seven billion, four hundred thirty-four million, nine hundred sixty-eight thousand".