1357058000 has 80 divisors (see below), whose sum is σ = 3289737360. Its totient is φ = 541440000.

The previous prime is 1357057981. The next prime is 1357058011. The reversal of 1357058000 is 8507531.

It can be written as a sum of positive squares in 8 ways, for example, as 514200976 + 842857024 = 22676^2 + 29032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201436 + ... + 1202564.

It is an arithmetic number, because the mean of its divisors is an integer number (41121717).

Almost surely, 2^1357058000 is an apocalyptic number.

1357058000 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 1357058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644868680).

1357058000 is an abundant number, since it is smaller than the sum of its proper divisors (1932679360).

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

1357058000 is a wasteful number, since it uses less digits than its factorization.

1357058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 1357058000 is about 36838.2681460462. The cubic root of 1357058000 is about 1107.1321689667.

The spelling of 1357058000 in words is "one billion, three hundred fifty-seven million, fifty-eight thousand".