1129735152100 has 81 divisors (see below), whose sum is σ = 2470889302833. Its totient is φ = 448352511360.

The previous prime is 1129735152089. The next prime is 1129735152101. The reversal of 1129735152100 is 12515379211.

The square root of 1129735152100 is 1062890.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 198108668836 + 931626483264 = 445094^2 + 965208^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1129735152100.

It is not an unprimeable number, because it can be changed into a prime (1129735152101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1668736962 + ... + 1668737638.

Almost surely, 2^{1129735152100} is an apocalyptic number.

1129735152100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1129735152100 is the 1062890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129735152100

1129735152100 is an abundant number, since it is smaller than the sum of its proper divisors (1341154150733).

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

1129735152100 is an frugal number, since it uses more digits than its factorization.

1129735152100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 37.

The spelling of 1129735152100 in words is "one trillion, one hundred twenty-nine billion, seven hundred thirty-five million, one hundred fifty-two thousand, one hundred".