235152144540 has 288 divisors, whose sum is σ = 758221900800. Its totient is φ = 58825751040.

The previous prime is 235152144527. The next prime is 235152144541. The reversal of 235152144540 is 45441251532.

235152144540 is a `hidden beast` number, since 2 + 3 + 51 + 5 + 21 + 44 + 540 = 666.

It is a super-2 number, since 2×235152144540² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235152144495 and 235152144504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235152144541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165250269 + ... + 165251691.

Almost surely, 2^235152144540 is an apocalyptic number.

235152144540 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 235152144540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379110950400).

235152144540 is an abundant number, since it is smaller than the sum of its proper divisors (523069756260).

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

235152144540 is a wasteful number, since it uses less digits than its factorization.

235152144540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 235152144540 in words is "two hundred thirty-five billion, one hundred fifty-two million, one hundred forty-four thousand, five hundred forty".