137045456640 has 216 divisors, whose sum is σ = 479879159760. Its totient is φ = 36104896512.

The previous prime is 137045456521. The next prime is 137045456651. The reversal of 137045456640 is 46654540731.

137045456640 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 4 + 545 + 66 + 40 = 666.

It is a super-4 number, since 4×137045456640⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 884496 + ... + 1027824.

Almost surely, 2^137045456640 is an apocalyptic number.

137045456640 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 137045456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239939579880).

137045456640 is an abundant number, since it is smaller than the sum of its proper divisors (342833703120).

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

137045456640 is a wasteful number, since it uses less digits than its factorization.

137045456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143439 (or 143422 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 137045456640 in words is "one hundred thirty-seven billion, forty-five million, four hundred fifty-six thousand, six hundred forty".