153546125040 has 1920 divisors, whose sum is σ = 718154035200. Its totient is φ = 29439590400.

The previous prime is 153546125011. The next prime is 153546125041. The reversal of 153546125040 is 40521645351.

153546125040 is a `hidden beast` number, since 1 + 5 + 35 + 4 + 612 + 5 + 0 + 4 + 0 = 666.

153546125040 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 153546124986 and 153546125004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153546125041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1725237316 + ... + 1725237404.

It is an arithmetic number, because the mean of its divisors is an integer number (374038560).

Almost surely, 2^153546125040 is an apocalyptic number.

153546125040 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 153546125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359077017600).

153546125040 is an abundant number, since it is smaller than the sum of its proper divisors (564607910160).

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

153546125040 is a wasteful number, since it uses less digits than its factorization.

153546125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 153546125040 in words is "one hundred fifty-three billion, five hundred forty-six million, one hundred twenty-five thousand, forty".