137750400 has 144 divisors (see below), whose sum is σ = 491627760. Its totient is φ = 36725760.

The previous prime is 137750359. The next prime is 137750401. The reversal of 137750400 is 4057731.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137750401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26409 + ... + 31191.

Almost surely, 2^137750400 is an apocalyptic number.

137750400 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 137750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245813880).

137750400 is an abundant number, since it is smaller than the sum of its proper divisors (353877360).

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

137750400 is a wasteful number, since it uses less digits than its factorization.

137750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 137750400 is about 11736.7116348660. The cubic root of 137750400 is about 516.4531803857.

The spelling of 137750400 in words is "one hundred thirty-seven million, seven hundred fifty thousand, four hundred".