114147920 has 40 divisors (see below), whose sum is σ = 266805096. Its totient is φ = 45416448.

The previous prime is 114147899. The next prime is 114147941. The reversal of 114147920 is 29741411.

It is an interprime number because it is at equal distance from previous prime (114147899) and next prime (114147941).

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 114147856 = 8^2 + 10684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11744 + ... + 19136.

Almost surely, 2^114147920 is an apocalyptic number.

114147920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114147920 is an abundant number, since it is smaller than the sum of its proper divisors (152657176).

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

114147920 is a wasteful number, since it uses less digits than its factorization.

114147920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7599 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 114147920 is about 10684.0029951325. The cubic root of 114147920 is about 485.0903859602.

The spelling of 114147920 in words is "one hundred fourteen million, one hundred forty-seven thousand, nine hundred twenty".