137109853440 has 576 divisors, whose sum is σ = 563001976320. Its totient is φ = 31334916096.

The previous prime is 137109853427. The next prime is 137109853457. The reversal of 137109853440 is 44358901731.

137109853440 is a `hidden beast` number, since 1 + 3 + 7 + 109 + 8 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×137109853440² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19592022 + ... + 19599018.

Almost surely, 2^137109853440 is an apocalyptic number.

137109853440 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 137109853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281500988160).

137109853440 is an abundant number, since it is smaller than the sum of its proper divisors (425892122880).

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

137109853440 is an frugal number, since it uses more digits than its factorization.

137109853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 137109853440 in words is "one hundred thirty-seven billion, one hundred nine million, eight hundred fifty-three thousand, four hundred forty".