144952920000 has 840 divisors, whose sum is σ = 600482858976. Its totient is φ = 32735232000.

The previous prime is 144952919989. The next prime is 144952920029. The reversal of 144952920000 is 29259441.

144952920000 is a `hidden beast` number, since 1 + 449 + 5 + 2 + 9 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×144952920000² (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 119 ways as a sum of consecutive naturals, for example, 244439704 + ... + 244440296.

Almost surely, 2^144952920000 is an apocalyptic number.

144952920000 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 144952920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300241429488).

144952920000 is an abundant number, since it is smaller than the sum of its proper divisors (455529938976).

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

144952920000 is an equidigital number, since it uses as much as digits as its factorization.

144952920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 144952920000 in words is "one hundred forty-four billion, nine hundred fifty-two million, nine hundred twenty thousand".