114757020 has 144 divisors (see below), whose sum is σ = 415406880. Its totient is φ = 26224128.

The previous prime is 114757007. The next prime is 114757081. The reversal of 114757020 is 20757411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24292 + ... + 28628.

It is an arithmetic number, because the mean of its divisors is an integer number (2884770).

Almost surely, 2^114757020 is an apocalyptic number.

114757020 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 114757020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207703440).

114757020 is an abundant number, since it is smaller than the sum of its proper divisors (300649860).

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

114757020 is a wasteful number, since it uses less digits than its factorization.

114757020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 114757020 is about 10712.4703033427. The cubic root of 114757020 is about 485.9516793904.

The spelling of 114757020 in words is "one hundred fourteen million, seven hundred fifty-seven thousand, twenty".