1381733201520 has 640 divisors, whose sum is σ = 5736318566400. Its totient is φ = 298635973632.

The previous prime is 1381733201491. The next prime is 1381733201599. The reversal of 1381733201520 is 251023371831.

It is a happy number.

1381733201520 is a `hidden beast` number, since 1 + 3 + 81 + 7 + 33 + 20 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 161734369 + ... + 161742911.

It is an arithmetic number, because the mean of its divisors is an integer number (8962997760).

Almost surely, 2^{1381733201520} is an apocalyptic number.

1381733201520 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 1381733201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868159283200).

1381733201520 is an abundant number, since it is smaller than the sum of its proper divisors (4354585364880).

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

1381733201520 is a wasteful number, since it uses less digits than its factorization.

1381733201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9154 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1381733201520 in words is "one trillion, three hundred eighty-one billion, seven hundred thirty-three million, two hundred one thousand, five hundred twenty".