137201040 has 200 divisors, whose sum is σ = 492611328. Its totient is φ = 35354880.

The previous prime is 137201027. The next prime is 137201041. The reversal of 137201040 is 40102731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137201041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200539 + ... + 201221.

Almost surely, 2^137201040 is an apocalyptic number.

137201040 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 137201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246305664).

137201040 is an abundant number, since it is smaller than the sum of its proper divisors (355410288).

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

137201040 is a wasteful number, since it uses less digits than its factorization.

137201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 137201040 is about 11713.2847655984. The cubic root of 137201040 is about 515.7657130012.

Adding to 137201040 its reverse (40102731), we get a palindrome (177303771).

The spelling of 137201040 in words is "one hundred thirty-seven million, two hundred one thousand, forty".