114150000 has 120 divisors (see below), whose sum is σ = 369070128. Its totient is φ = 30400000.

The previous prime is 114149999. The next prime is 114150007. The reversal of 114150000 is 51411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114150007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149620 + ... + 150380.

Almost surely, 2^114150000 is an apocalyptic number.

114150000 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 114150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184535064).

114150000 is an abundant number, since it is smaller than the sum of its proper divisors (254920128).

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

114150000 is an frugal number, since it uses more digits than its factorization.

114150000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 114150000 is about 10684.1003364813. The cubic root of 114150000 is about 485.0933323765.

The spelling of 114150000 in words is "one hundred fourteen million, one hundred fifty thousand".