153726342 has 192 divisors, whose sum is σ = 435746304. Its totient is φ = 34974720.

The previous prime is 153726323. The next prime is 153726403. The reversal of 153726342 is 243627351.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4154748 + ... + 4154784.

It is an arithmetic number, because the mean of its divisors is an integer number (2269512).

Almost surely, 2^153726342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153726342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217873152).

153726342 is an abundant number, since it is smaller than the sum of its proper divisors (282019962).

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

153726342 is a wasteful number, since it uses less digits than its factorization.

153726342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 153726342 is about 12398.6427483011. The cubic root of 153726342 is about 535.6931557583.

The spelling of 153726342 in words is "one hundred fifty-three million, seven hundred twenty-six thousand, three hundred forty-two".