354150120 has 128 divisors (see below), whose sum is σ = 1184284800. Its totient is φ = 84197376.

The previous prime is 354150109. The next prime is 354150131. The reversal of 354150120 is 21051453.

It is an interprime number because it is at equal distance from previous prime (354150109) and next prime (354150131).

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, 34192 + ... + 43328.

It is an arithmetic number, because the mean of its divisors is an integer number (9252225).

Almost surely, 2^354150120 is an apocalyptic number.

354150120 is a gapful number since it is divisible by the number (30) 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 354150120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592142400).

354150120 is an abundant number, since it is smaller than the sum of its proper divisors (830134680).

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

354150120 is a wasteful number, since it uses less digits than its factorization.

354150120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 354150120 is about 18818.8766933630. The cubic root of 354150120 is about 707.5043771866.

The spelling of 354150120 in words is "three hundred fifty-four million, one hundred fifty thousand, one hundred twenty".