137492087040 has 1728 divisors, whose sum is σ = 634511888640. Its totient is φ = 28101427200.

The previous prime is 137492087023. The next prime is 137492087041. The reversal of 137492087040 is 40780294731.

137492087040 is a `hidden beast` number, since 1 + 374 + 9 + 208 + 70 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×137492087040² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (137492087041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2253968610 + ... + 2253968670.

It is an arithmetic number, because the mean of its divisors is an integer number (367194380).

Almost surely, 2^137492087040 is an apocalyptic number.

137492087040 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 137492087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317255944320).

137492087040 is an abundant number, since it is smaller than the sum of its proper divisors (497019801600).

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

137492087040 is an equidigital number, since it uses as much as digits as its factorization.

137492087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 137492087040 in words is "one hundred thirty-seven billion, four hundred ninety-two million, eighty-seven thousand, forty".