1357356000 has 768 divisors, whose sum is σ = 6023227392. Its totient is φ = 258048000.

The previous prime is 1357355969. The next prime is 1357356001. The reversal of 1357356000 is 6537531.

1357356000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1357356001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12011944 + ... + 12012056.

It is an arithmetic number, because the mean of its divisors is an integer number (7842744).

Almost surely, 2^1357356000 is an apocalyptic number.

1357356000 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 1357356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011613696).

1357356000 is an abundant number, since it is smaller than the sum of its proper divisors (4665871392).

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

1357356000 is a wasteful number, since it uses less digits than its factorization.

1357356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 1357356000 is about 36842.3126309954. The cubic root of 1357356000 is about 1107.2132024081.

The spelling of 1357356000 in words is "one billion, three hundred fifty-seven million, three hundred fifty-six thousand".