137042715041280 has 800 divisors, whose sum is σ = 496459936101888. Its totient is φ = 36128913408000.

The previous prime is 137042715041273. The next prime is 137042715041341. The reversal of 137042715041280 is 82140517240731.

It is a happy number.

137042715041280 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 4 + 2 + 7 + 150 + 412 + 80 = 666.

137042715041280 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×137042715041280³ (a number of 43 digits) contains 333 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 79 ways as a sum of consecutive naturals, for example, 6606686589 + ... + 6606707331.

Almost surely, 2^{137042715041280} is an apocalyptic number.

137042715041280 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 137042715041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248229968050944).

137042715041280 is an abundant number, since it is smaller than the sum of its proper divisors (359417221060608).

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

137042715041280 is a wasteful number, since it uses less digits than its factorization.

137042715041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21140 (or 21115 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 137042715041280 in words is "one hundred thirty-seven trillion, forty-two billion, seven hundred fifteen million, forty-one thousand, two hundred eighty".