153306020040 has 128 divisors (see below), whose sum is σ = 473434536960. Its totient is φ = 39691540224.

The previous prime is 153306020027. The next prime is 153306020093. The reversal of 153306020040 is 40020603351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772767 + ... + 950673.

It is an arithmetic number, because the mean of its divisors is an integer number (3698707320).

Almost surely, 2^153306020040 is an apocalyptic number.

153306020040 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 153306020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236717268480).

153306020040 is an abundant number, since it is smaller than the sum of its proper divisors (320128516920).

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

153306020040 is a wasteful number, since it uses less digits than its factorization.

153306020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178131 (or 178127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 153306020040 its reverse (40020603351), we get a palindrome (193326623391).

The spelling of 153306020040 in words is "one hundred fifty-three billion, three hundred six million, twenty thousand, forty".