155838816 has 216 divisors, whose sum is σ = 535920840. Its totient is φ = 44416512.

The previous prime is 155838773. The next prime is 155838841. The reversal of 155838816 is 618838551.

155838816 is a `hidden beast` number, since 1 + 558 + 3 + 88 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380820 + ... + 381228.

It is an arithmetic number, because the mean of its divisors is an integer number (2481115).

Almost surely, 2^155838816 is an apocalyptic number.

155838816 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 155838816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267960420).

155838816 is an abundant number, since it is smaller than the sum of its proper divisors (380082024).

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

155838816 is an equidigital number, since it uses as much as digits as its factorization.

155838816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 155838816 is about 12483.5418051128. The cubic root of 155838816 is about 538.1357939536.

The spelling of 155838816 in words is "one hundred fifty-five million, eight hundred thirty-eight thousand, eight hundred sixteen".