1381915080 has 640 divisors, whose sum is σ = 5903251200. Its totient is φ = 282175488.

The previous prime is 1381915063. The next prime is 1381915097. The reversal of 1381915080 is 805191831.

1381915080 is a `hidden beast` number, since 138 + 19 + 1 + 508 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1381915063) and next prime (1381915097).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12678066 + ... + 12678174.

It is an arithmetic number, because the mean of its divisors is an integer number (9223830).

Almost surely, 2^1381915080 is an apocalyptic number.

1381915080 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 1381915080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951625600).

1381915080 is an abundant number, since it is smaller than the sum of its proper divisors (4521336120).

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

1381915080 is a wasteful number, since it uses less digits than its factorization.

1381915080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1381915080 is about 37174.1184159087. The cubic root of 1381915080 is about 1113.8510502472.

The spelling of 1381915080 in words is "one billion, three hundred eighty-one million, nine hundred fifteen thousand, eighty".