144951900 has 72 divisors (see below), whose sum is σ = 423556224. Its totient is φ = 38270400.

The previous prime is 144951899. The next prime is 144951907. The reversal of 144951900 is 9159441.

It is a super-2 number, since 2×144951900² = 42022106627220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144951907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28555 + ... + 33245.

Almost surely, 2^144951900 is an apocalyptic number.

144951900 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 144951900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211778112).

144951900 is an abundant number, since it is smaller than the sum of its proper divisors (278604324).

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

144951900 is a wasteful number, since it uses less digits than its factorization.

144951900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4804 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 144951900 is about 12039.5971693408. The cubic root of 144951900 is about 525.3006894277.

The spelling of 144951900 in words is "one hundred forty-four million, nine hundred fifty-one thousand, nine hundred".