1353708233136 has 320 divisors, whose sum is σ = 4677319680000. Its totient is φ = 366193052928.

The previous prime is 1353708233107. The next prime is 1353708233149. The reversal of 1353708233136 is 6313328073531.

1353708233136 is a `hidden beast` number, since 1 + 3 + 537 + 0 + 82 + 3 + 3 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1353708233091 and 1353708233100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107953555 + ... + 107966093.

It is an arithmetic number, because the mean of its divisors is an integer number (14616624000).

Almost surely, 2^{1353708233136} is an apocalyptic number.

1353708233136 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 1353708233136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338659840000).

1353708233136 is an abundant number, since it is smaller than the sum of its proper divisors (3323611446864).

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

1353708233136 is a wasteful number, since it uses less digits than its factorization.

1353708233136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14461 (or 14449 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 1353708233136 in words is "one trillion, three hundred fifty-three billion, seven hundred eight million, two hundred thirty-three thousand, one hundred thirty-six".