1334155680 has 864 divisors, whose sum is σ = 5855915520. Its totient is φ = 273715200.

The previous prime is 1334155651. The next prime is 1334155709. The reversal of 1334155680 is 865514331.

It is an interprime number because it is at equal distance from previous prime (1334155651) and next prime (1334155709).

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 143 ways as a sum of consecutive naturals, for example, 43037265 + ... + 43037295.

It is an arithmetic number, because the mean of its divisors is an integer number (6777680).

Almost surely, 2^1334155680 is an apocalyptic number.

1334155680 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 1334155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927957760).

1334155680 is an abundant number, since it is smaller than the sum of its proper divisors (4521759840).

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

1334155680 is a wasteful number, since it uses less digits than its factorization.

1334155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1334155680 is about 36526.0958767838. The cubic root of 1334155680 is about 1100.8686472001.

The spelling of 1334155680 in words is "one billion, three hundred thirty-four million, one hundred fifty-five thousand, six hundred eighty".