155135200 has 216 divisors, whose sum is σ = 446080824. Its totient is φ = 52224000.

The previous prime is 155135179. The next prime is 155135221. The reversal of 155135200 is 2531551.

155135200 = T₂₈₀ + T₂₈₁ + ... + T₉₈₃.

155135200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (155135179) and next prime (155135221).

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 2543170 + ... + 2543230.

It is an arithmetic number, because the mean of its divisors is an integer number (2065189).

Almost surely, 2^155135200 is an apocalyptic number.

155135200 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 155135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223040412).

155135200 is an abundant number, since it is smaller than the sum of its proper divisors (290945624).

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

155135200 is a wasteful number, since it uses less digits than its factorization.

155135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 155135200 is about 12455.3281771297. The cubic root of 155135200 is about 537.3246733015.

Adding to 155135200 its reverse (2531551), we get a palindrome (157666751).

The spelling of 155135200 in words is "one hundred fifty-five million, one hundred thirty-five thousand, two hundred".