240900129 has 32 divisors (see below), whose sum is σ = 370656000. Its totient is φ = 154449792.

The previous prime is 240900119. The next prime is 240900139. The reversal of 240900129 is 921009042.

240900129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240900119) and next prime (240900139).

It is not a de Polignac number, because 240900129 - 2⁵ = 240900097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (240900119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280669 + ... + 281525.

It is an arithmetic number, because the mean of its divisors is an integer number (11583000).

Almost surely, 2^240900129 is an apocalyptic number.

240900129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

240900129 is a deficient number, since it is larger than the sum of its proper divisors (129755871).

240900129 is a wasteful number, since it uses less digits than its factorization.

240900129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 240900129 is about 15520.9577346245. The cubic root of 240900129 is about 622.2224513900. Note that the first 3 decimals are identical.

The spelling of 240900129 in words is "two hundred forty million, nine hundred thousand, one hundred twenty-nine".