111429136 has 135 divisors (see below), whose sum is σ = 281647431. Its totient is φ = 42561792.

The previous prime is 111429113. The next prime is 111429137. The reversal of 111429136 is 631924111.

The square root of 111429136 is 10556.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14288400 + 97140736 = 3780^2 + 9856^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (111429137) 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, 3842370 + ... + 3842398.

Almost surely, 2^111429136 is an apocalyptic number.

111429136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

111429136 is the 10556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111429136

111429136 is an abundant number, since it is smaller than the sum of its proper divisors (170218295).

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

111429136 is a wasteful number, since it uses less digits than its factorization.

111429136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 51 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

The cubic root of 111429136 is about 481.2080911164.

Multiplying 111429136 by its product of digits (1296), we get a square (144412160256 = 380016²).

The spelling of 111429136 in words is "one hundred eleven million, four hundred twenty-nine thousand, one hundred thirty-six".