145023933600 has 1152 divisors, whose sum is σ = 653583168000. Its totient is φ = 30218158080.

The previous prime is 145023933583. The next prime is 145023933619. The reversal of 145023933600 is 6339320541.

It is a happy number.

145023933600 is a `hidden beast` number, since 1 + 4 + 502 + 3 + 93 + 3 + 60 + 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 191 ways as a sum of consecutive naturals, for example, 174937986 + ... + 174938814.

It is an arithmetic number, because the mean of its divisors is an integer number (567346500).

Almost surely, 2^145023933600 is an apocalyptic number.

145023933600 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 145023933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326791584000).

145023933600 is an abundant number, since it is smaller than the sum of its proper divisors (508559234400).

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

145023933600 is a wasteful number, since it uses less digits than its factorization.

145023933600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 145023933600 in words is "one hundred forty-five billion, twenty-three million, nine hundred thirty-three thousand, six hundred".