120153264 has 320 divisors, whose sum is σ = 428544000. Its totient is φ = 28062720.

The previous prime is 120153259. The next prime is 120153269. The reversal of 120153264 is 462351021.

It is an interprime number because it is at equal distance from previous prime (120153259) and next prime (120153269).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120153269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2036467 + ... + 2036525.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 2^120153264 is an apocalyptic number.

120153264 is a gapful number since it is divisible by the number (14) 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 120153264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

120153264 is an abundant number, since it is smaller than the sum of its proper divisors (308390736).

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

120153264 is a wasteful number, since it uses less digits than its factorization.

120153264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 120153264 is about 10961.4444303659. Note that the first 4 decimals coincide. The cubic root of 120153264 is about 493.4523152673.

The spelling of 120153264 in words is "one hundred twenty million, one hundred fifty-three thousand, two hundred sixty-four".