155288016 has 150 divisors (see below), whose sum is σ = 487367430. Its totient is φ = 47713536.

The previous prime is 155287999. The next prime is 155288017. The reversal of 155288016 is 610882551.

It can be written as a sum of positive squares in 3 ways, for example, as 6350400 + 148937616 = 2520^2 + 12204^2 .

It is a super-2 number, since 2×155288016² = 48228735826432512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155288017) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 218670 + ... + 219378.

Almost surely, 2^155288016 is an apocalyptic number.

155288016 is a gapful number since it is divisible by the number (16) 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 155288016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243683715).

155288016 is an abundant number, since it is smaller than the sum of its proper divisors (332079414).

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

155288016 is a wasteful number, since it uses less digits than its factorization.

155288016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 155288016 is about 12461.4612305299. The cubic root of 155288016 is about 537.5010460409.

The spelling of 155288016 in words is "one hundred fifty-five million, two hundred eighty-eight thousand, sixteen".