114067152 has 120 divisors (see below), whose sum is σ = 333232640. Its totient is φ = 36391680.

The previous prime is 114067123. The next prime is 114067169. The reversal of 114067152 is 251760411.

It is a happy number.

It is a super-2 number, since 2×114067152² = 26022630330782208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420777 + ... + 421047.

Almost surely, 2^114067152 is an apocalyptic number.

114067152 is a gapful number since it is divisible by the number (12) 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 114067152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166616320).

114067152 is an abundant number, since it is smaller than the sum of its proper divisors (219165488).

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

114067152 is a wasteful number, since it uses less digits than its factorization.

114067152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 114067152 is about 10680.2224695930. Note that the first 3 decimals coincide. The cubic root of 114067152 is about 484.9759466585.

The spelling of 114067152 in words is "one hundred fourteen million, sixty-seven thousand, one hundred fifty-two".