137445120 has 288 divisors, whose sum is σ = 504786240. Its totient is φ = 35389440.

The previous prime is 137445109. The next prime is 137445149. The reversal of 137445120 is 21544731.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×137445120² = 37782322023628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1416912 + ... + 1417008.

It is an arithmetic number, because the mean of its divisors is an integer number (1752730).

Almost surely, 2^137445120 is an apocalyptic number.

137445120 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 137445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252393120).

137445120 is an abundant number, since it is smaller than the sum of its proper divisors (367341120).

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

137445120 is an equidigital number, since it uses as much as digits as its factorization.

137445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 137445120 is about 11723.6990749507. The cubic root of 137445120 is about 516.0713800658.

Adding to 137445120 its reverse (21544731), we get a palindrome (158989851).

The spelling of 137445120 in words is "one hundred thirty-seven million, four hundred forty-five thousand, one hundred twenty".