114545640 has 128 divisors (see below), whose sum is σ = 378846720. Its totient is φ = 27475200.

The previous prime is 114545633. The next prime is 114545653. The reversal of 114545640 is 46545411.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114545598 and 114545607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140835 + ... + 141645.

It is an arithmetic number, because the mean of its divisors is an integer number (2959740).

Almost surely, 2^114545640 is an apocalyptic number.

114545640 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 114545640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189423360).

114545640 is an abundant number, since it is smaller than the sum of its proper divisors (264301080).

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

114545640 is a wasteful number, since it uses less digits than its factorization.

114545640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 114545640 is about 10702.5996841889. The cubic root of 114545640 is about 485.6531251051.

The spelling of 114545640 in words is "one hundred fourteen million, five hundred forty-five thousand, six hundred forty".