145429884600 has 1536 divisors, whose sum is σ = 639319080960. Its totient is φ = 26376192000.

The previous prime is 145429884571. The next prime is 145429884629. The reversal of 145429884600 is 6488924541.

145429884600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145429884571) and next prime (145429884629).

It is a super-2 number, since 2×145429884600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1359157747 + ... + 1359157853.

It is an arithmetic number, because the mean of its divisors is an integer number (416223360).

Almost surely, 2^145429884600 is an apocalyptic number.

145429884600 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 145429884600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319659540480).

145429884600 is an abundant number, since it is smaller than the sum of its proper divisors (493889196360).

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

145429884600 is a wasteful number, since it uses less digits than its factorization.

145429884600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 145429884600 in words is "one hundred forty-five billion, four hundred twenty-nine million, eight hundred eighty-four thousand, six hundred".