145922515200 has 1296 divisors, whose sum is σ = 672844574080. Its totient is φ = 30291148800.

The previous prime is 145922515199. The next prime is 145922515237. The reversal of 145922515200 is 2515229541.

145922515200 is a `hidden beast` number, since 1 + 45 + 92 + 2 + 5 + 1 + 520 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 146361102 + ... + 146362098.

Almost surely, 2^145922515200 is an apocalyptic number.

145922515200 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 145922515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336422287040).

145922515200 is an abundant number, since it is smaller than the sum of its proper divisors (526922058880).

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

145922515200 is a wasteful number, since it uses less digits than its factorization.

145922515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 145922515200 in words is "one hundred forty-five billion, nine hundred twenty-two million, five hundred fifteen thousand, two hundred".