1357136363520 has 960 divisors, whose sum is σ = 5662592044560. Its totient is φ = 310053961728.

The previous prime is 1357136363503. The next prime is 1357136363591. The reversal of 1357136363520 is 253636317531.

1357136363520 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 1 + 3 + 6 + 3 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×1357136363520³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 650279917 + ... + 650282003.

Almost surely, 2^{1357136363520} is an apocalyptic number.

1357136363520 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 1357136363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831296022280).

1357136363520 is an abundant number, since it is smaller than the sum of its proper divisors (4305455681040).

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

1357136363520 is an frugal number, since it uses more digits than its factorization.

1357136363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 1357136363520 in words is "one trillion, three hundred fifty-seven billion, one hundred thirty-six million, three hundred sixty-three thousand, five hundred twenty".