119954000 has 80 divisors (see below), whose sum is σ = 298071696. Its totient is φ = 46656000.

The previous prime is 119953997. The next prime is 119954027. The reversal of 119954000 is 459911.

It can be written as a sum of positive squares in 8 ways, for example, as 6574096 + 113379904 = 2564^2 + 10648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73190 + ... + 74810.

Almost surely, 2^119954000 is an apocalyptic number.

119954000 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 119954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149035848).

119954000 is an abundant number, since it is smaller than the sum of its proper divisors (178117696).

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

119954000 is a wasteful number, since it uses less digits than its factorization.

119954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 119954000 is about 10952.3513457157. The cubic root of 119954000 is about 493.1793813915.

The spelling of 119954000 in words is "one hundred nineteen million, nine hundred fifty-four thousand".