153283141440 has 1008 divisors, whose sum is σ = 654353271936. Its totient is φ = 32464281600.

The previous prime is 153283141433. The next prime is 153283141457. The reversal of 153283141440 is 44141382351.

153283141440 is a `hidden beast` number, since 1 + 5 + 328 + 314 + 14 + 4 + 0 = 666.

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 = 153283141395 and 153283141404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148673725 + ... + 148674755.

It is an arithmetic number, because the mean of its divisors is an integer number (649159992).

Almost surely, 2^153283141440 is an apocalyptic number.

153283141440 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 153283141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327176635968).

153283141440 is an abundant number, since it is smaller than the sum of its proper divisors (501070130496).

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

153283141440 is a wasteful number, since it uses less digits than its factorization.

153283141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 153283141440 in words is "one hundred fifty-three billion, two hundred eighty-three million, one hundred forty-one thousand, four hundred forty".