155838312 has 96 divisors (see below), whose sum is σ = 484735680. Its totient is φ = 44305920.

The previous prime is 155838311. The next prime is 155838349. The reversal of 155838312 is 213838551.

155838312 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (155838311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120823 + ... + 122105.

It is an arithmetic number, because the mean of its divisors is an integer number (5049330).

Almost surely, 2^155838312 is an apocalyptic number.

155838312 is a gapful number since it is divisible by the number (12) 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 155838312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242367840).

155838312 is an abundant number, since it is smaller than the sum of its proper divisors (328897368).

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

155838312 is a wasteful number, since it uses less digits than its factorization.

155838312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1536 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 155838312 is about 12483.5216185177. The cubic root of 155838312 is about 538.1352138227.

The spelling of 155838312 in words is "one hundred fifty-five million, eight hundred thirty-eight thousand, three hundred twelve".