145351600 has 30 divisors (see below), whose sum is σ = 349208180. Its totient is φ = 58140480.

The previous prime is 145351597. The next prime is 145351603. The reversal of 145351600 is 6153541.

It is an interprime number because it is at equal distance from previous prime (145351597) and next prime (145351603).

It is a super-2 number, since 2×145351600² = 42254175245120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (145351603) 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 5 ways as a sum of consecutive naturals, for example, 181290 + ... + 182089.

Almost surely, 2^145351600 is an apocalyptic number.

145351600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145351600 is an abundant number, since it is smaller than the sum of its proper divisors (203856580).

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

145351600 is a wasteful number, since it uses less digits than its factorization.

145351600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363397 (or 363386 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 145351600 is about 12056.1851346104. The cubic root of 145351600 is about 525.7830793155.

The spelling of 145351600 in words is "one hundred forty-five million, three hundred fifty-one thousand, six hundred".