153127456542 has 192 divisors, whose sum is σ = 360705945600. Its totient is φ = 46802733120.

The previous prime is 153127456513. The next prime is 153127456549. The reversal of 153127456542 is 245654721351.

153127456542 is a `hidden beast` number, since 1 + 5 + 3 + 12 + 74 + 565 + 4 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153127456549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417240843 + ... + 417241209.

It is an arithmetic number, because the mean of its divisors is an integer number (1878676800).

Almost surely, 2^153127456542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153127456542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180352972800).

153127456542 is an abundant number, since it is smaller than the sum of its proper divisors (207578489058).

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

153127456542 is a wasteful number, since it uses less digits than its factorization.

153127456542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 728 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 153127456542 in words is "one hundred fifty-three billion, one hundred twenty-seven million, four hundred fifty-six thousand, five hundred forty-two".