153418802040 has 288 divisors, whose sum is σ = 585766546560. Its totient is φ = 34719552000.

The previous prime is 153418802027. The next prime is 153418802059. The reversal of 153418802040 is 40208814351.

153418802040 is a `hidden beast` number, since 1 + 534 + 1 + 8 + 80 + 2 + 0 + 40 = 666.

153418802040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×153418802040⁶ (a number of 68 digits) contains 666666 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 153418801986 and 153418802004.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1738585 + ... + 1824695.

It is an arithmetic number, because the mean of its divisors is an integer number (2033911620).

Almost surely, 2^153418802040 is an apocalyptic number.

153418802040 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 153418802040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292883273280).

153418802040 is an abundant number, since it is smaller than the sum of its proper divisors (432347744520).

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

153418802040 is a wasteful number, since it uses less digits than its factorization.

153418802040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86243 (or 86229 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 153418802040 in words is "one hundred fifty-three billion, four hundred eighteen million, eight hundred two thousand, forty".