153080202240 has 1320 divisors, whose sum is σ = 661407512832. Its totient is φ = 33861058560.

The previous prime is 153080202239. The next prime is 153080202281. The reversal of 153080202240 is 42202080351.

It is a super-3 number, since 3×153080202240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4938071025 + ... + 4938071055.

Almost surely, 2^153080202240 is an apocalyptic number.

153080202240 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 153080202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330703756416).

153080202240 is an abundant number, since it is smaller than the sum of its proper divisors (508327310592).

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

153080202240 is an frugal number, since it uses more digits than its factorization.

153080202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 153080202240 its reverse (42202080351), we get a palindrome (195282282591).

The spelling of 153080202240 in words is "one hundred fifty-three billion, eighty million, two hundred two thousand, two hundred forty".