137134800 has 180 divisors, whose sum is σ = 519309024. Its totient is φ = 33235200.

The previous prime is 137134787. The next prime is 137134813. The reversal of 137134800 is 8431731.

It is an interprime number because it is at equal distance from previous prime (137134787) and next prime (137134813).

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37869 + ... + 41331.

Almost surely, 2^137134800 is an apocalyptic number.

137134800 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 137134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259654512).

137134800 is an abundant number, since it is smaller than the sum of its proper divisors (382174224).

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

137134800 is a wasteful number, since it uses less digits than its factorization.

137134800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 137134800 is about 11710.4568655540. The cubic root of 137134800 is about 515.6826965740.

The spelling of 137134800 in words is "one hundred thirty-seven million, one hundred thirty-four thousand, eight hundred".