1371115200 has 672 divisors, whose sum is σ = 5742854656. Its totient is φ = 278691840.

The previous prime is 1371115199. The next prime is 1371115223. The reversal of 1371115200 is 25111731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18782364 + ... + 18782436.

Almost surely, 2^1371115200 is an apocalyptic number.

1371115200 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 1371115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871427328).

1371115200 is an abundant number, since it is smaller than the sum of its proper divisors (4371739456).

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

1371115200 is a wasteful number, since it uses less digits than its factorization.

1371115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 1371115200 is about 37028.5727513227. The cubic root of 1371115200 is about 1110.9418189482.

Adding to 1371115200 its reverse (25111731), we get a palindrome (1396226931).

It can be divided in two parts, 137111 and 5200, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 1371115200 in words is "one billion, three hundred seventy-one million, one hundred fifteen thousand, two hundred".