137151400 has 72 divisors (see below), whose sum is σ = 326019870. Its totient is φ = 53656960.

The previous prime is 137151389. The next prime is 137151431. The reversal of 137151400 is 4151731.

It can be written as a sum of positive squares in 3 ways, for example, as 131010916 + 6140484 = 11446^2 + 2478^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 696102 + ... + 696298.

Almost surely, 2^137151400 is an apocalyptic number.

137151400 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 137151400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163009935).

137151400 is an abundant number, since it is smaller than the sum of its proper divisors (188868470).

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

137151400 is a wasteful number, since it uses less digits than its factorization.

137151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 137151400 is about 11711.1656123547. The cubic root of 137151400 is about 515.7035033213.

The spelling of 137151400 in words is "one hundred thirty-seven million, one hundred fifty-one thousand, four hundred".