153342762273792 has 1408 divisors, whose sum is σ = 565974682828800. Its totient is φ = 39935409979392.

The previous prime is 153342762273787. The next prime is 153342762273871. The reversal of 153342762273792 is 297372267243351.

153342762273792 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 4 + 276 + 2 + 273 + 7 + 92 = 666.

153342762273792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68487163809 + ... + 68487166047.

Almost surely, 2^{153342762273792} is an apocalyptic number.

153342762273792 is a gapful number since it is divisible by the number (12) 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 153342762273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282987341414400).

153342762273792 is an abundant number, since it is smaller than the sum of its proper divisors (412631920555008).

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

153342762273792 is a wasteful number, since it uses less digits than its factorization.

153342762273792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2594 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 63.

The spelling of 153342762273792 in words is "one hundred fifty-three trillion, three hundred forty-two billion, seven hundred sixty-two million, two hundred seventy-three thousand, seven hundred ninety-two".