13642500 has 120 divisors (see below), whose sum is σ = 42511392. Its totient is φ = 3392000.

The previous prime is 13642477. The next prime is 13642501. The reversal of 13642500 is 524631.

It is a happy number.

It is a super-2 number, since 2×13642500² = 372235612500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13642501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127447 + ... + 127553.

Almost surely, 2^13642500 is an apocalyptic number.

13642500 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 13642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21255696).

13642500 is an abundant number, since it is smaller than the sum of its proper divisors (28868892).

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

13642500 is a wasteful number, since it uses less digits than its factorization.

13642500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 13642500 is about 3693.5755034925. The cubic root of 13642500 is about 238.9450221634.

The spelling of 13642500 in words is "thirteen million, six hundred forty-two thousand, five hundred".