13500720 has 120 divisors (see below), whose sum is σ = 48050496. Its totient is φ = 3385344.

The previous prime is 13500691. The next prime is 13500733. The reversal of 13500720 is 2700531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13500693 and 13500702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11689 + ... + 12791.

Almost surely, 2^13500720 is an apocalyptic number.

13500720 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 13500720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24025248).

13500720 is an abundant number, since it is smaller than the sum of its proper divisors (34549776).

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

13500720 is a wasteful number, since it uses less digits than its factorization.

13500720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 13500720 is about 3674.3325924581. The cubic root of 13500720 is about 238.1143907894.

The spelling of 13500720 in words is "thirteen million, five hundred thousand, seven hundred twenty".