114071136 has 48 divisors (see below), whose sum is σ = 315201600. Its totient is φ = 36021888.

The previous prime is 114071059. The next prime is 114071137. The reversal of 114071136 is 631170411.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114071137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29446 + ... + 33093.

It is an arithmetic number, because the mean of its divisors is an integer number (6566700).

Almost surely, 2^114071136 is an apocalyptic number.

114071136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114071136 is an abundant number, since it is smaller than the sum of its proper divisors (201130464).

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

114071136 is a wasteful number, since it uses less digits than its factorization.

114071136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62571 (or 62563 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 114071136 is about 10680.4089809333. The cubic root of 114071136 is about 484.9815928112.

The spelling of 114071136 in words is "one hundred fourteen million, seventy-one thousand, one hundred thirty-six".