152643334140 has 768 divisors, whose sum is σ = 549744814080. Its totient is φ = 34836480000.

The previous prime is 152643334133. The next prime is 152643334141. The reversal of 152643334140 is 41433346251.

152643334140 is a `hidden beast` number, since 1 + 5 + 2 + 643 + 3 + 3 + 4 + 1 + 4 + 0 = 666.

152643334140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 152643334095 and 152643334104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152643334141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1511320090 + ... + 1511320190.

It is an arithmetic number, because the mean of its divisors is an integer number (715813560).

Almost surely, 2^152643334140 is an apocalyptic number.

152643334140 is a gapful number since it is divisible by the number (10) 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 152643334140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274872407040).

152643334140 is an abundant number, since it is smaller than the sum of its proper divisors (397101479940).

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

152643334140 is a wasteful number, since it uses less digits than its factorization.

152643334140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 152643334140 in words is "one hundred fifty-two billion, six hundred forty-three million, three hundred thirty-four thousand, one hundred forty".