1357332900 has 288 divisors, whose sum is σ = 4975014912. Its totient is φ = 277516800.

The previous prime is 1357332841. The next prime is 1357332941. The reversal of 1357332900 is 92337531.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 1547262 + ... + 1548138.

Almost surely, 2^1357332900 is an apocalyptic number.

1357332900 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 1357332900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487507456).

1357332900 is an abundant number, since it is smaller than the sum of its proper divisors (3617682012).

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

1357332900 is a wasteful number, since it uses less digits than its factorization.

1357332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 1357332900 is about 36841.9991314261. Note that the first 3 decimals coincide. The cubic root of 1357332900 is about 1107.2069213808.

The spelling of 1357332900 in words is "one billion, three hundred fifty-seven million, three hundred thirty-two thousand, nine hundred".