1351249920 has 156 divisors (see below), whose sum is σ = 4684400136. Its totient is φ = 360284160.

The previous prime is 1351249871. The next prime is 1351249927. The reversal of 1351249920 is 299421531.

1351249920 is a `hidden beast` number, since 13 + 512 + 49 + 92 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351249927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180655 + ... + 187985.

It is an arithmetic number, because the mean of its divisors is an integer number (30028206).

Almost surely, 2^1351249920 is an apocalyptic number.

1351249920 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 1351249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342200068).

1351249920 is an abundant number, since it is smaller than the sum of its proper divisors (3333150216).

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

1351249920 is an equidigital number, since it uses as much as digits as its factorization.

1351249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1351249920 is about 36759.3514632671. The cubic root of 1351249920 is about 1105.5504365740.

The spelling of 1351249920 in words is "one billion, three hundred fifty-one million, two hundred forty-nine thousand, nine hundred twenty".