145352100 has 72 divisors (see below), whose sum is σ = 425944960. Its totient is φ = 38263680.

The previous prime is 145352099. The next prime is 145352101. The reversal of 145352100 is 1253541.

It is an interprime number because it is at equal distance from previous prime (145352099) and next prime (145352101).

It is a super-2 number, since 2×145352100² = 42254465948820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145352101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20634 + ... + 26766.

Almost surely, 2^145352100 is an apocalyptic number.

145352100 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 145352100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212972480).

145352100 is an abundant number, since it is smaller than the sum of its proper divisors (280592860).

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

145352100 is a wasteful number, since it uses less digits than its factorization.

145352100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 145352100 is about 12056.2058708368. The cubic root of 145352100 is about 525.7836822013.

The spelling of 145352100 in words is "one hundred forty-five million, three hundred fifty-two thousand, one hundred".