153429281460 has 1296 divisors, whose sum is σ = 647802949248. Its totient is φ = 29678814720.

The previous prime is 153429281449. The next prime is 153429281513. The reversal of 153429281460 is 64182924351.

153429281460 is a `hidden beast` number, since 1 + 534 + 29 + 28 + 14 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 4949331645 + ... + 4949331675.

Almost surely, 2^153429281460 is an apocalyptic number.

153429281460 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 153429281460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323901474624).

153429281460 is an abundant number, since it is smaller than the sum of its proper divisors (494373667788).

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

153429281460 is a wasteful number, since it uses less digits than its factorization.

153429281460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 153429281460 in words is "one hundred fifty-three billion, four hundred twenty-nine million, two hundred eighty-one thousand, four hundred sixty".