137914000 has 80 divisors (see below), whose sum is σ = 381154176. Its totient is φ = 47280000.

The previous prime is 137913991. The next prime is 137914057. The reversal of 137914000 is 419731.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9075 + ... + 18925.

Almost surely, 2^137914000 is an apocalyptic number.

137914000 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 137914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190577088).

137914000 is an abundant number, since it is smaller than the sum of its proper divisors (243240176).

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

137914000 is an equidigital number, since it uses as much as digits as its factorization.

137914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9881 (or 9865 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 137914000 is about 11743.6791509305. The cubic root of 137914000 is about 516.6575556261.

The spelling of 137914000 in words is "one hundred thirty-seven million, nine hundred fourteen thousand".