137649120 has 192 divisors, whose sum is σ = 503387136. Its totient is φ = 30965760.

The previous prime is 137649103. The next prime is 137649137. The reversal of 137649120 is 21946731.

It is an interprime number because it is at equal distance from previous prime (137649103) and next prime (137649137).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238272 + ... + 238848.

It is an arithmetic number, because the mean of its divisors is an integer number (2621808).

Almost surely, 2^137649120 is an apocalyptic number.

137649120 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 137649120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251693568).

137649120 is an abundant number, since it is smaller than the sum of its proper divisors (365738016).

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

137649120 is a wasteful number, since it uses less digits than its factorization.

137649120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 137649120 is about 11732.3961746951. The cubic root of 137649120 is about 516.3265765122.

The spelling of 137649120 in words is "one hundred thirty-seven million, six hundred forty-nine thousand, one hundred twenty".