137457054720 has 264 divisors, whose sum is σ = 476845063656. Its totient is φ = 36612145152.

The previous prime is 137457054689. The next prime is 137457054733. The reversal of 137457054720 is 27450754731.

137457054720 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 570 + 5 + 4 + 72 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49518710784 + 87938343936 = 222528^2 + 296544^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66953214 + ... + 66955266.

Almost surely, 2^137457054720 is an apocalyptic number.

137457054720 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 137457054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238422531828).

137457054720 is an abundant number, since it is smaller than the sum of its proper divisors (339388008936).

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

137457054720 is a wasteful number, since it uses less digits than its factorization.

137457054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 137457054720 in words is "one hundred thirty-seven billion, four hundred fifty-seven million, fifty-four thousand, seven hundred twenty".