313777152 has 264 divisors, whose sum is σ = 1022288176. Its totient is φ = 95551488.

The previous prime is 313777127. The next prime is 313777171. The reversal of 313777152 is 251777313.

It is a super-2 number, since 2×313777152² = 196912202234462208, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3234768 + ... + 3234864.

Almost surely, 2^313777152 is an apocalyptic number.

313777152 is a gapful number since it is divisible by the number (32) 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 313777152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511144088).

313777152 is an abundant number, since it is smaller than the sum of its proper divisors (708511024).

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

313777152 is an equidigital number, since it uses as much as digits as its factorization.

313777152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its digits is 30870, while the sum is 36.

The square root of 313777152 is about 17713.7560105134. The cubic root of 313777152 is about 679.5276073166.

The spelling of 313777152 in words is "three hundred thirteen million, seven hundred seventy-seven thousand, one hundred fifty-two".