1340172100 has 72 divisors (see below), whose sum is σ = 2982809088. Its totient is φ = 522412800.

The previous prime is 1340172091. The next prime is 1340172103. The reversal of 1340172100 is 12710431.

It is a super-2 number, since 2×1340172100² = 3592122515236820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1340172103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1470645 + ... + 1471555.

It is an arithmetic number, because the mean of its divisors is an integer number (41427904).

Almost surely, 2^1340172100 is an apocalyptic number.

1340172100 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 1340172100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491404544).

1340172100 is an abundant number, since it is smaller than the sum of its proper divisors (1642636988).

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

1340172100 is a wasteful number, since it uses less digits than its factorization.

1340172100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 1340172100 is about 36608.3610668383. The cubic root of 1340172100 is about 1102.5209673736.

Adding to 1340172100 its reverse (12710431), we get a palindrome (1352882531).

The spelling of 1340172100 in words is "one billion, three hundred forty million, one hundred seventy-two thousand, one hundred".