1353152640 has 384 divisors, whose sum is σ = 5288414400. Its totient is φ = 292626432.

The previous prime is 1353152623. The next prime is 1353152653. The reversal of 1353152640 is 462513531.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1353152598 and 1353152607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1787142 + ... + 1787898.

Almost surely, 2^1353152640 is an apocalyptic number.

1353152640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644207200).

1353152640 is an abundant number, since it is smaller than the sum of its proper divisors (3935261760).

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

1353152640 is a wasteful number, since it uses less digits than its factorization.

1353152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1353152640 is about 36785.2231201606. The cubic root of 1353152640 is about 1106.0691085375.

The spelling of 1353152640 in words is "one billion, three hundred fifty-three million, one hundred fifty-two thousand, six hundred forty".