145651600 has 30 divisors (see below), whose sum is σ = 349928930. Its totient is φ = 58260480.

The previous prime is 145651537. The next prime is 145651603. The reversal of 145651600 is 6156541.

145651600 is nontrivially palindromic in base 7.

145651600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 21641104 + 124010496 = 4652^2 + 11136^2 .

It is not an unprimeable number, because it can be changed into a prime (145651603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181665 + ... + 182464.

Almost surely, 2^145651600 is an apocalyptic number.

145651600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145651600 is an abundant number, since it is smaller than the sum of its proper divisors (204277330).

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

145651600 is a wasteful number, since it uses less digits than its factorization.

145651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364147 (or 364136 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 145651600 is about 12068.6204679740. The cubic root of 145651600 is about 526.1445626164.

The spelling of 145651600 in words is "one hundred forty-five million, six hundred fifty-one thousand, six hundred".