1357585920 has 200 divisors, whose sum is σ = 4863186504. Its totient is φ = 361967616.

The previous prime is 1357585909. The next prime is 1357585921. The reversal of 1357585920 is 295857531.

1357585920 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 58 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357585921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204087 + ... + 210633.

Almost surely, 2^1357585920 is an apocalyptic number.

1357585920 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 1357585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431593252).

1357585920 is an abundant number, since it is smaller than the sum of its proper divisors (3505600584).

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

1357585920 is an frugal number, since it uses more digits than its factorization.

1357585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6582 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 1357585920 is about 36845.4328241642. The cubic root of 1357585920 is about 1107.2757151380.

The spelling of 1357585920 in words is "one billion, three hundred fifty-seven million, five hundred eighty-five thousand, nine hundred twenty".