145850803200 has 660 divisors, whose sum is σ = 554956593972. Its totient is φ = 37822464000.

The previous prime is 145850803181. The next prime is 145850803223. The reversal of 145850803200 is 2308058541.

It is a happy number.

145850803200 is a `hidden beast` number, since 145 + 8 + 508 + 0 + 3 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3727835136 + 142122968064 = 61056^2 + 376992^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 76722250 + ... + 76724150.

Almost surely, 2^145850803200 is an apocalyptic number.

145850803200 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 145850803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277478296986).

145850803200 is an abundant number, since it is smaller than the sum of its proper divisors (409105790772).

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

145850803200 is a wasteful number, since it uses less digits than its factorization.

145850803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

It can be divided in two parts, 1458 and 50803200, that multiplied together give a square (74071065600 = 272160²).

The spelling of 145850803200 in words is "one hundred forty-five billion, eight hundred fifty million, eight hundred three thousand, two hundred".