144139392 has 128 divisors (see below), whose sum is σ = 429624000. Its totient is φ = 47572992.

The previous prime is 144139363. The next prime is 144139399. The reversal of 144139392 is 293931441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×144139392² = 41552328652259328, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (144139399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618508 + ... + 618740.

Almost surely, 2^144139392 is an apocalyptic number.

144139392 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 144139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214812000).

144139392 is an abundant number, since it is smaller than the sum of its proper divisors (285484608).

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

144139392 is a wasteful number, since it uses less digits than its factorization.

144139392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 417 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 144139392 is about 12005.8065951439. The cubic root of 144139392 is about 524.3173494780.

The spelling of 144139392 in words is "one hundred forty-four million, one hundred thirty-nine thousand, three hundred ninety-two".