114546000 has 160 divisors (see below), whose sum is σ = 391367808. Its totient is φ = 28723200.

The previous prime is 114545993. The next prime is 114546001. The reversal of 114546000 is 645411.

It is a super-2 number, since 2×114546000² = 26241572232000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114546001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101439 + ... + 102561.

Almost surely, 2^114546000 is an apocalyptic number.

114546000 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 114546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195683904).

114546000 is an abundant number, since it is smaller than the sum of its proper divisors (276821808).

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

114546000 is a wasteful number, since it uses less digits than its factorization.

114546000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114546000 is about 10702.6165025194. The cubic root of 114546000 is about 485.6536338832.

The spelling of 114546000 in words is "one hundred fourteen million, five hundred forty-six thousand".