137052000 has 336 divisors, whose sum is σ = 515616192. Its totient is φ = 35769600.

The previous prime is 137051989. The next prime is 137052029. The reversal of 137052000 is 250731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2915977 + ... + 2916023.

It is an arithmetic number, because the mean of its divisors is an integer number (1534572).

Almost surely, 2^137052000 is an apocalyptic number.

137052000 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 137052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257808096).

137052000 is an abundant number, since it is smaller than the sum of its proper divisors (378564192).

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

137052000 is an frugal number, since it uses more digits than its factorization.

137052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 137052000 is about 11706.9210298866. The cubic root of 137052000 is about 515.5788884384.

The spelling of 137052000 in words is "one hundred thirty-seven million, fifty-two thousand".