1353123640 has 48 divisors (see below), whose sum is σ = 3346476840. Its totient is φ = 492043200.

The previous prime is 1353123631. The next prime is 1353123643. The reversal of 1353123640 is 463213531.

It is a junction number, because it is equal to n+sod(n) for n = 1353123599 and 1353123608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353123643) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 134946 + ... + 144625.

Almost surely, 2^1353123640 is an apocalyptic number.

1353123640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353123640 is an abundant number, since it is smaller than the sum of its proper divisors (1993353200).

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

1353123640 is a wasteful number, since it uses less digits than its factorization.

1353123640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279604 (or 279589 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 1353123640 is about 36784.8289380282. The cubic root of 1353123640 is about 1106.0612069324.

The spelling of 1353123640 in words is "one billion, three hundred fifty-three million, one hundred twenty-three thousand, six hundred forty".