1342525200 has 120 divisors (see below), whose sum is σ = 4317580800. Its totient is φ = 356590080.

The previous prime is 1342525183. The next prime is 1342525259. The reversal of 1342525200 is 25252431.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 320721 + ... + 324879.

It is an arithmetic number, because the mean of its divisors is an integer number (35979840).

Almost surely, 2^1342525200 is an apocalyptic number.

1342525200 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 1342525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158790400).

1342525200 is an abundant number, since it is smaller than the sum of its proper divisors (2975055600).

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

1342525200 is a wasteful number, since it uses less digits than its factorization.

1342525200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4449 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1342525200 is about 36640.4858046397. The cubic root of 1342525200 is about 1103.1658659328.

Adding to 1342525200 its reverse (25252431), we get a palindrome (1367777631).

The spelling of 1342525200 in words is "one billion, three hundred forty-two million, five hundred twenty-five thousand, two hundred".