155304253440 has 1152 divisors, whose sum is σ = 666928080000. Its totient is φ = 33409990656.

The previous prime is 155304253427. The next prime is 155304253451. The reversal of 155304253440 is 44352403551.

155304253440 is a `hidden beast` number, since 1 + 5 + 5 + 304 + 2 + 5 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×155304253440² (a number of 23 digits) contains 22 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 = 155304253395 and 155304253404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9135544312 + ... + 9135544328.

It is an arithmetic number, because the mean of its divisors is an integer number (578930625).

Almost surely, 2^155304253440 is an apocalyptic number.

155304253440 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 155304253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333464040000).

155304253440 is an abundant number, since it is smaller than the sum of its proper divisors (511623826560).

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

155304253440 is an frugal number, since it uses more digits than its factorization.

155304253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 155304253440 its reverse (44352403551), we get a palindrome (199656656991).

The spelling of 155304253440 in words is "one hundred fifty-five billion, three hundred four million, two hundred fifty-three thousand, four hundred forty".