137014800 has 120 divisors (see below), whose sum is σ = 472719744. Its totient is φ = 33722880.

The previous prime is 137014793. The next prime is 137014807. The reversal of 137014800 is 8410731.

137014800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137014793) and next prime (137014807).

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 (24).

It is not an unprimeable number, because it can be changed into a prime (137014807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11209 + ... + 19991.

Almost surely, 2^137014800 is an apocalyptic number.

137014800 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 137014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236359872).

137014800 is an abundant number, since it is smaller than the sum of its proper divisors (335704944).

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

137014800 is a wasteful number, since it uses less digits than its factorization.

137014800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8817 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 137014800 is about 11705.3321183126. The cubic root of 137014800 is about 515.5322363886.

The spelling of 137014800 in words is "one hundred thirty-seven million, fourteen thousand, eight hundred".