120400137 has 48 divisors (see below), whose sum is σ = 216373248. Its totient is φ = 63383040.

The previous prime is 120400127. The next prime is 120400177. The reversal of 120400137 is 731004021.

It is not a de Polignac number, because 120400137 - 2⁶ = 120400073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120400117) 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, 19128 + ... + 24630.

It is an arithmetic number, because the mean of its divisors is an integer number (4507776).

Almost surely, 2^120400137 is an apocalyptic number.

120400137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

120400137 is a deficient number, since it is larger than the sum of its proper divisors (95973111).

120400137 is a wasteful number, since it uses less digits than its factorization.

120400137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5550 (or 5547 counting only the distinct ones).

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

The square root of 120400137 is about 10972.6996222443. The cubic root of 120400137 is about 493.7900414677.

Adding to 120400137 its reverse (731004021), we get a palindrome (851404158).

The spelling of 120400137 in words is "one hundred twenty million, four hundred thousand, one hundred thirty-seven".