153105312429 has 32 divisors (see below), whose sum is σ = 232997978880. Its totient is φ = 99292392000.

The previous prime is 153105312427. The next prime is 153105312443. The reversal of 153105312429 is 924213501351.

It is a happy number.

153105312429 is a `hidden beast` number, since 1 + 5 + 310 + 5 + 312 + 4 + 29 = 666.

It is not a de Polignac number, because 153105312429 - 2¹ = 153105312427 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 153105312393 and 153105312402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153105312427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6682864 + ... + 6705734.

It is an arithmetic number, because the mean of its divisors is an integer number (7281186840).

Almost surely, 2^153105312429 is an apocalyptic number.

It is an amenable number.

153105312429 is a deficient number, since it is larger than the sum of its proper divisors (79892666451).

153105312429 is a wasteful number, since it uses less digits than its factorization.

153105312429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29618 (or 29612 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 153105312429 in words is "one hundred fifty-three billion, one hundred five million, three hundred twelve thousand, four hundred twenty-nine".