137145120 has 288 divisors, whose sum is σ = 533651328. Its totient is φ = 29503488.

The previous prime is 137145119. The next prime is 137145121. The reversal of 137145120 is 21541731.

It is an interprime number because it is at equal distance from previous prime (137145119) and next prime (137145121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137145121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8067352 + ... + 8067368.

It is an arithmetic number, because the mean of its divisors is an integer number (1852956).

Almost surely, 2^137145120 is an apocalyptic number.

137145120 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 137145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266825664).

137145120 is an abundant number, since it is smaller than the sum of its proper divisors (396506208).

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

137145120 is an frugal number, since it uses more digits than its factorization.

137145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 137145120 is about 11710.8974890911. The cubic root of 137145120 is about 515.6956320505.

Adding to 137145120 its reverse (21541731), we get a palindrome (158686851).

The spelling of 137145120 in words is "one hundred thirty-seven million, one hundred forty-five thousand, one hundred twenty".