137045040 has 320 divisors, whose sum is σ = 504824832. Its totient is φ = 30412800.

The previous prime is 137044987. The next prime is 137045047. The reversal of 137045040 is 40540731.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137045040.

It is not an unprimeable number, because it can be changed into a prime (137045047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2246610 + ... + 2246670.

Almost surely, 2^137045040 is an apocalyptic number.

137045040 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 137045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252412416).

137045040 is an abundant number, since it is smaller than the sum of its proper divisors (367779792).

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

137045040 is a wasteful number, since it uses less digits than its factorization.

137045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 137045040 is about 11706.6237660565. The cubic root of 137045040 is about 515.5701606324.

Adding to 137045040 its reverse (40540731), we get a palindrome (177585771).

The spelling of 137045040 in words is "one hundred thirty-seven million, forty-five thousand, forty".