123153040 has 40 divisors (see below), whose sum is σ = 298784448. Its totient is φ = 47118720.

The previous prime is 123153031. The next prime is 123153061. The reversal of 123153040 is 40351321.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×123153040² = 30333342522483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123152999 and 123153017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31626 + ... + 35305.

Almost surely, 2^123153040 is an apocalyptic number.

123153040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123153040 is an abundant number, since it is smaller than the sum of its proper divisors (175631408).

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

123153040 is a wasteful number, since it uses less digits than its factorization.

123153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66967 (or 66961 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 123153040 is about 11097.4339376272. The cubic root of 123153040 is about 497.5251571834.

The spelling of 123153040 in words is "one hundred twenty-three million, one hundred fifty-three thousand, forty".