18137053440 has 1152 divisors, whose sum is σ = 77233766400. Its totient is φ = 4031078400.

The previous prime is 18137053439. The next prime is 18137053457. The reversal of 18137053440 is 4435073181.

It is a happy number.

18137053440 is a `hidden beast` number, since 1 + 8 + 13 + 70 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18137053395 and 18137053404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 585066225 + ... + 585066255.

It is an arithmetic number, because the mean of its divisors is an integer number (67043200).

Almost surely, 2^18137053440 is an apocalyptic number.

18137053440 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 18137053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38616883200).

18137053440 is an abundant number, since it is smaller than the sum of its proper divisors (59096712960).

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

18137053440 is an equidigital number, since it uses as much as digits as its factorization.

18137053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 18137053440 in words is "eighteen billion, one hundred thirty-seven million, fifty-three thousand, four hundred forty".