137114053440 has 672 divisors, whose sum is σ = 542880011520. Its totient is φ = 28707913728.

The previous prime is 137114053429. The next prime is 137114053481. The reversal of 137114053440 is 44350411731.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×137114053440³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178301376 + ... + 178302144.

It is an arithmetic number, because the mean of its divisors is an integer number (807857160).

Almost surely, 2^137114053440 is an apocalyptic number.

137114053440 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 137114053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271440005760).

137114053440 is an abundant number, since it is smaller than the sum of its proper divisors (405765958080).

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

137114053440 is a wasteful number, since it uses less digits than its factorization.

137114053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 137114053440 in words is "one hundred thirty-seven billion, one hundred fourteen million, fifty-three thousand, four hundred forty".