137334092936040 has 4096 divisors, whose sum is σ = 641704683110400. Its totient is φ = 25531238154240.

The previous prime is 137334092936023. The next prime is 137334092936111. The reversal of 137334092936040 is 40639290433731.

It is a happy number.

137334092936040 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 3 + 4 + 0 + 9 + 29 + 3 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 589416707764 + ... + 589416707996.

It is an arithmetic number, because the mean of its divisors is an integer number (156666182400).

Almost surely, 2^{137334092936040} is an apocalyptic number.

137334092936040 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 137334092936040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320852341555200).

137334092936040 is an abundant number, since it is smaller than the sum of its proper divisors (504370590174360).

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

137334092936040 is a wasteful number, since it uses less digits than its factorization.

137334092936040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 137334092936040 in words is "one hundred thirty-seven trillion, three hundred thirty-four billion, ninety-two million, nine hundred thirty-six thousand, forty".