137248000 has 72 divisors (see below), whose sum is σ = 341981640. Its totient is φ = 54886400.

The previous prime is 137247997. The next prime is 137248009. The reversal of 137248000 is 842731.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 136796416 = 672^2 + 11696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137248009) 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, 29856 + ... + 34144.

It is an arithmetic number, because the mean of its divisors is an integer number (4749745).

Almost surely, 2^137248000 is an apocalyptic number.

137248000 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 137248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170990820).

137248000 is an abundant number, since it is smaller than the sum of its proper divisors (204733640).

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

137248000 is an frugal number, since it uses more digits than its factorization.

137248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 137248000 is about 11715.2891556291. The cubic root of 137248000 is about 515.8245502498.

The spelling of 137248000 in words is "one hundred thirty-seven million, two hundred forty-eight thousand".