16137613440 has 384 divisors, whose sum is σ = 61012813680. Its totient is φ = 3906109440.

The previous prime is 16137613439. The next prime is 16137613523. The reversal of 16137613440 is 4431673161.

16137613440 is a `hidden beast` number, since 1 + 6 + 1 + 37 + 613 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2324782656 + 13812830784 = 48216^2 + 117528^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×16137613440³ (a number of 32 digits) contains 333 as substring.

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 = 16137613395 and 16137613404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4565914 + ... + 4569446.

Almost surely, 2^16137613440 is an apocalyptic number.

16137613440 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 16137613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30506406840).

16137613440 is an abundant number, since it is smaller than the sum of its proper divisors (44875200240).

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

16137613440 is a wasteful number, since it uses less digits than its factorization.

16137613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3632 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 16137613440 in words is "sixteen billion, one hundred thirty-seven million, six hundred thirteen thousand, four hundred forty".