235077134240 has 288 divisors, whose sum is σ = 652334615856. Its totient is φ = 79693086720.

The previous prime is 235077134219. The next prime is 235077134261. The reversal of 235077134240 is 42431770532.

It is an interprime number because it is at equal distance from previous prime (235077134219) and next prime (235077134261).

It can be written as a sum of positive squares in 24 ways, for example, as 52806201616 + 182270932624 = 229796^2 + 426932^2 .

It is a super-2 number, since 2×235077134240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 235077134194 and 235077134203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18840644 + ... + 18853116.

Almost surely, 2^235077134240 is an apocalyptic number.

235077134240 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 235077134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326167307928).

235077134240 is an abundant number, since it is smaller than the sum of its proper divisors (417257481616).

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

235077134240 is a wasteful number, since it uses less digits than its factorization.

235077134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572 (or 12551 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

The spelling of 235077134240 in words is "two hundred thirty-five billion, seventy-seven million, one hundred thirty-four thousand, two hundred forty".