154221144100 has 81 divisors (see below), whose sum is σ = 338094890707. Its totient is φ = 61061692480.

The previous prime is 154221144043. The next prime is 154221144109. The reversal of 154221144100 is 1441122451.

The square root of 154221144100 is 392710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16977568804 + 137243575296 = 130298^2 + 370464^2 .

It is a super-2 number, since 2×154221144100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (154221144109) 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 26 ways as a sum of consecutive naturals, for example, 679388187 + ... + 679388413.

Almost surely, 2^154221144100 is an apocalyptic number.

154221144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

154221144100 is the 392710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154221144100

154221144100 is an abundant number, since it is smaller than the sum of its proper divisors (183873746607).

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

154221144100 is an equidigital number, since it uses as much as digits as its factorization.

154221144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Multiplying 154221144100 by its sum of digits (25), we get a square (3855528602500 = 1963550²).

154221144100 divided by its sum of digits (25) gives a square (6168845764 = 78542²).

Adding to 154221144100 its reverse (1441122451), we get a palindrome (155662266551).

The spelling of 154221144100 in words is "one hundred fifty-four billion, two hundred twenty-one million, one hundred forty-four thousand, one hundred".