155506560 has 256 divisors, whose sum is σ = 558144000. Its totient is φ = 36495360.

The previous prime is 155506553. The next prime is 155506567. The reversal of 155506560 is 65605551.

It is an interprime number because it is at equal distance from previous prime (155506553) and next prime (155506567).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155506567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 781341 + ... + 781539.

It is an arithmetic number, because the mean of its divisors is an integer number (2180250).

Almost surely, 2^155506560 is an apocalyptic number.

155506560 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 155506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279072000).

155506560 is an abundant number, since it is smaller than the sum of its proper divisors (402637440).

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

155506560 is a wasteful number, since it uses less digits than its factorization.

155506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 155506560 is about 12470.2269426021. The cubic root of 155506560 is about 537.7530778649.

The spelling of 155506560 in words is "one hundred fifty-five million, five hundred six thousand, five hundred sixty".