1357019136 has 384 divisors, whose sum is σ = 4623091200. Its totient is φ = 389283840.

The previous prime is 1357019123. The next prime is 1357019149. The reversal of 1357019136 is 6319107531.

It is an interprime number because it is at equal distance from previous prime (1357019123) and next prime (1357019149).

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1357019136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13989840 + ... + 13989936.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2^1357019136 is an apocalyptic number.

1357019136 is a gapful number since it is divisible by the number (16) 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 1357019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311545600).

1357019136 is an abundant number, since it is smaller than the sum of its proper divisors (3266072064).

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

1357019136 is a wasteful number, since it uses less digits than its factorization.

1357019136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1357019136 is about 36837.7406473307. The cubic root of 1357019136 is about 1107.1216000263.

The spelling of 1357019136 in words is "one billion, three hundred fifty-seven million, nineteen thousand, one hundred thirty-six".