137552000 has 64 divisors (see below), whose sum is σ = 342028440. Its totient is φ = 55014400.

The previous prime is 137551979. The next prime is 137552003. The reversal of 137552000 is 255731.

It can be written as a sum of positive squares in 4 ways, for example, as 54523456 + 83028544 = 7384^2 + 9112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (137552003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11702 + ... + 20298.

Almost surely, 2^137552000 is an apocalyptic number.

137552000 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 137552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171014220).

137552000 is an abundant number, since it is smaller than the sum of its proper divisors (204476440).

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

137552000 is an frugal number, since it uses more digits than its factorization.

137552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8626 (or 8604 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 137552000 is about 11728.2564774139. The cubic root of 137552000 is about 516.2051144563.

The spelling of 137552000 in words is "one hundred thirty-seven million, five hundred fifty-two thousand".