154132200 has 384 divisors, whose sum is σ = 594604800. Its totient is φ = 36495360.

The previous prime is 154132159. The next prime is 154132201. The reversal of 154132200 is 2231451.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (154132201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2111364 + ... + 2111436.

It is an arithmetic number, because the mean of its divisors is an integer number (1548450).

Almost surely, 2^154132200 is an apocalyptic number.

154132200 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 154132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297302400).

154132200 is an abundant number, since it is smaller than the sum of its proper divisors (440472600).

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

154132200 is a wasteful number, since it uses less digits than its factorization.

154132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 154132200 is about 12414.9989931534. The cubic root of 154132200 is about 536.1641752227.

Adding to 154132200 its reverse (2231451), we get a palindrome (156363651).

The spelling of 154132200 in words is "one hundred fifty-four million, one hundred thirty-two thousand, two hundred".