13137120 has 96 divisors (see below), whose sum is σ = 45995040. Its totient is φ = 3502080.

The previous prime is 13137119. The next prime is 13137121. The reversal of 13137120 is 2173131.

13137120 = T₃₁₉ + T₃₂₀ + ... + T₄₈₀.

It is an interprime number because it is at equal distance from previous prime (13137119) and next prime (13137121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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 = 13137093 and 13137102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2800 + ... + 5840.

It is an arithmetic number, because the mean of its divisors is an integer number (479115).

Almost surely, 2^13137120 is an apocalyptic number.

13137120 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 13137120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520).

13137120 is an abundant number, since it is smaller than the sum of its proper divisors (32857920).

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

13137120 is a wasteful number, since it uses less digits than its factorization.

13137120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 13137120 is about 3624.5165194823. The cubic root of 13137120 is about 235.9572842349.

The spelling of 13137120 in words is "thirteen million, one hundred thirty-seven thousand, one hundred twenty".