153419250240 has 336 divisors, whose sum is σ = 535294167408. Its totient is φ = 40327053312.

The previous prime is 153419250203. The next prime is 153419250241. The reversal of 153419250240 is 42052914351.

153419250240 is a `hidden beast` number, since 153 + 4 + 19 + 250 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22832418816 + 130586831424 = 151104^2 + 361368^2 .

It is a super-3 number, since 3×153419250240³ (a number of 35 digits) contains 333 as substring.

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 = 153419250195 and 153419250204.

It is not an unprimeable number, because it can be changed into a prime (153419250241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64110484 + ... + 64112876.

It is an arithmetic number, because the mean of its divisors is an integer number (1593137403).

Almost surely, 2^153419250240 is an apocalyptic number.

153419250240 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 153419250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267647083704).

153419250240 is an abundant number, since it is smaller than the sum of its proper divisors (381874917168).

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

153419250240 is a wasteful number, since it uses less digits than its factorization.

153419250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 153419250240 in words is "one hundred fifty-three billion, four hundred nineteen million, two hundred fifty thousand, two hundred forty".