126735240 has 64 divisors (see below), whose sum is σ = 381202560. Its totient is φ = 33707520.

The previous prime is 126735239. The next prime is 126735311. The reversal of 126735240 is 42537621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 126735198 and 126735207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53685 + ... + 55995.

It is an arithmetic number, because the mean of its divisors is an integer number (5956290).

Almost surely, 2^126735240 is an apocalyptic number.

126735240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126735240 is an abundant number, since it is smaller than the sum of its proper divisors (254467320).

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

126735240 is a wasteful number, since it uses less digits than its factorization.

126735240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 126735240 is about 11257.6747154996. The cubic root of 126735240 is about 502.3030291599.

The spelling of 126735240 in words is "one hundred twenty-six million, seven hundred thirty-five thousand, two hundred forty".