13537408500 has 576 divisors, whose sum is σ = 55254011904. Its totient is φ = 2811024000.

The previous prime is 13537408483. The next prime is 13537408501. The reversal of 13537408500 is 580473531.

13537408500 is a `hidden beast` number, since 1 + 3 + 537 + 40 + 85 + 0 + 0 = 666.

It is a super-2 number, since 2×13537408500² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13537408501) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 9354777 + ... + 9356223.

It is an arithmetic number, because the mean of its divisors is an integer number (95927104).

Almost surely, 2^13537408500 is an apocalyptic number.

13537408500 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 13537408500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27627005952).

13537408500 is an abundant number, since it is smaller than the sum of its proper divisors (41716603404).

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

13537408500 is a wasteful number, since it uses less digits than its factorization.

13537408500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13537408500 in words is "thirteen billion, five hundred thirty-seven million, four hundred eight thousand, five hundred".