120151350 has 288 divisors, whose sum is σ = 389975040. Its totient is φ = 27216000.

The previous prime is 120151303. The next prime is 120151351. The reversal of 120151350 is 53151021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120151351) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3875835 + ... + 3875865.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^120151350 is an apocalyptic number.

120151350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120151350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

120151350 is an abundant number, since it is smaller than the sum of its proper divisors (269823690).

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

120151350 is a wasteful number, since it uses less digits than its factorization.

120151350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 120151350 is about 10961.3571240061. The cubic root of 120151350 is about 493.4496950784.

The spelling of 120151350 in words is "one hundred twenty million, one hundred fifty-one thousand, three hundred fifty".