1315737920 has 112 divisors (see below), whose sum is σ = 3631557888. Its totient is φ = 444702720.

The previous prime is 1315737919. The next prime is 1315737923. The reversal of 1315737920 is 297375131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1315737920³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315737923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154904 + ... + 163176.

It is an arithmetic number, because the mean of its divisors is an integer number (32424624).

Almost surely, 2^1315737920 is an apocalyptic number.

1315737920 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 1315737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815778944).

1315737920 is an abundant number, since it is smaller than the sum of its proper divisors (2315819968).

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

1315737920 is an equidigital number, since it uses as much as digits as its factorization.

1315737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 1315737920 is about 36273.1018800433. The cubic root of 1315737920 is about 1095.7793968772.

The spelling of 1315737920 in words is "one billion, three hundred fifteen million, seven hundred thirty-seven thousand, nine hundred twenty".