1136106400 has 144 divisors (see below), whose sum is σ = 3258728928. Its totient is φ = 381312000.

The previous prime is 1136106341. The next prime is 1136106401. The reversal of 1136106400 is 46016311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1136106401) 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, 109435 + ... + 119365.

It is an arithmetic number, because the mean of its divisors is an integer number (22630062).

Almost surely, 2^1136106400 is an apocalyptic number.

1136106400 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 1136106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629364464).

1136106400 is an abundant number, since it is smaller than the sum of its proper divisors (2122622528).

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

1136106400 is a wasteful number, since it uses less digits than its factorization.

1136106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9975 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1136106400 is about 33706.1774753531. The cubic root of 1136106400 is about 1043.4532645180.

The spelling of 1136106400 in words is "one billion, one hundred thirty-six million, one hundred six thousand, four hundred".