155305920 has 336 divisors, whose sum is σ = 622669824. Its totient is φ = 32102400.

The previous prime is 155305919. The next prime is 155305937. The reversal of 155305920 is 29503551.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (30) 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 (30).

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 47 ways as a sum of consecutive naturals, for example, 813025 + ... + 813215.

It is an arithmetic number, because the mean of its divisors is an integer number (1853184).

Almost surely, 2^155305920 is an apocalyptic number.

155305920 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 155305920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311334912).

155305920 is an abundant number, since it is smaller than the sum of its proper divisors (467363904).

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

155305920 is a wasteful number, since it uses less digits than its factorization.

155305920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 155305920 is about 12462.1795846473. The cubic root of 155305920 is about 537.5217023867.

The spelling of 155305920 in words is "one hundred fifty-five million, three hundred five thousand, nine hundred twenty".