114564120 has 128 divisors (see below), whose sum is σ = 377568000. Its totient is φ = 27578880.

The previous prime is 114564097. The next prime is 114564143. The reversal of 114564120 is 21465411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114564097) and next prime (114564143).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302091 + ... + 302469.

It is an arithmetic number, because the mean of its divisors is an integer number (2949750).

Almost surely, 2^114564120 is an apocalyptic number.

114564120 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 114564120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188784000).

114564120 is an abundant number, since it is smaller than the sum of its proper divisors (263003880).

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

114564120 is a wasteful number, since it uses less digits than its factorization.

114564120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 114564120 is about 10703.4629910137. The cubic root of 114564120 is about 485.6792410043.

It can be divided in two parts, 11456 and 4120, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 114564120 in words is "one hundred fourteen million, five hundred sixty-four thousand, one hundred twenty".