137134419840 has 768 divisors, whose sum is σ = 543732134400. Its totient is φ = 31523880960.

The previous prime is 137134419839. The next prime is 137134419847. The reversal of 137134419840 is 48914431731.

It is a happy number.

137134419840 is a `hidden beast` number, since 13 + 71 + 3 + 441 + 98 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137134419847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202561582 + ... + 202562258.

It is an arithmetic number, because the mean of its divisors is an integer number (707984550).

Almost surely, 2^137134419840 is an apocalyptic number.

137134419840 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 137134419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271866067200).

137134419840 is an abundant number, since it is smaller than the sum of its proper divisors (406597714560).

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

137134419840 is a wasteful number, since it uses less digits than its factorization.

137134419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 137134419840 in words is "one hundred thirty-seven billion, one hundred thirty-four million, four hundred nineteen thousand, eight hundred forty".