144692730000 has 1500 divisors, whose sum is σ = 651902674368. Its totient is φ = 30326400000.

The previous prime is 144692729933. The next prime is 144692730019. The reversal of 144692730000 is 37296441.

It is a tau number, because it is divible by the number of its divisors (1500).

It is a super-2 number, since 2×144692730000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 958229925 + ... + 958230075.

Almost surely, 2^144692730000 is an apocalyptic number.

144692730000 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 144692730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325951337184).

144692730000 is an abundant number, since it is smaller than the sum of its proper divisors (507209944368).

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

144692730000 is a wasteful number, since it uses less digits than its factorization.

144692730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 144692730000 in words is "one hundred forty-four billion, six hundred ninety-two million, seven hundred thirty thousand".