13842500 has 90 divisors (see below), whose sum is σ = 35524566. Its totient is φ = 4704000.

The previous prime is 13842497. The next prime is 13842509. The reversal of 13842500 is 524831.

It can be written as a sum of positive squares in 5 ways, for example, as 9834496 + 4008004 = 3136^2 + 2002^2 .

It is a super-2 number, since 2×13842500² = 383229612500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13842509) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 122444 + ... + 122556.

Almost surely, 2^13842500 is an apocalyptic number.

13842500 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 13842500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17762283).

13842500 is an abundant number, since it is smaller than the sum of its proper divisors (21682066).

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

13842500 is a wasteful number, since it uses less digits than its factorization.

13842500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 13842500 is about 3720.5510344571. The cubic root of 13842500 is about 240.1070124628.

The spelling of 13842500 in words is "thirteen million, eight hundred forty-two thousand, five hundred".