234135453353120 has 384 divisors, whose sum is σ = 633422984366592. Its totient is φ = 81704096686080.

The previous prime is 234135453353111. The next prime is 234135453353189. The reversal of 234135453353120 is 21353354531432.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575001437 + ... + 575408483.

It is an arithmetic number, because the mean of its divisors is an integer number (1649539021788).

Almost surely, 2^{234135453353120} is an apocalyptic number.

234135453353120 is a gapful number since it is divisible by the number (20) 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 234135453353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316711492183296).

234135453353120 is an abundant number, since it is smaller than the sum of its proper divisors (399287531013472).

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

234135453353120 is a wasteful number, since it uses less digits than its factorization.

234135453353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407205 (or 407175 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 44.

The spelling of 234135453353120 in words is "two hundred thirty-four trillion, one hundred thirty-five billion, four hundred fifty-three million, three hundred fifty-three thousand, one hundred twenty".