137083544640 has 1120 divisors, whose sum is σ = 602779795200. Its totient is φ = 29457727488.

The previous prime is 137083544629. The next prime is 137083544641. The reversal of 137083544640 is 46445380731.

137083544640 is a `hidden beast` number, since 137 + 0 + 8 + 3 + 54 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×137083544640² (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 (137083544641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151139067 + ... + 151139973.

Almost surely, 2^137083544640 is an apocalyptic number.

137083544640 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 137083544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301389897600).

137083544640 is an abundant number, since it is smaller than the sum of its proper divisors (465696250560).

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

137083544640 is an equidigital number, since it uses as much as digits as its factorization.

137083544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 137083544640 in words is "one hundred thirty-seven billion, eighty-three million, five hundred forty-four thousand, six hundred forty".