145791600 has 60 divisors (see below), whose sum is σ = 467022936. Its totient is φ = 38877440.

The previous prime is 145791599. The next prime is 145791661. The reversal of 145791600 is 6197541.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59547 + ... + 61946.

Almost surely, 2^145791600 is an apocalyptic number.

145791600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145791600 is an abundant number, since it is smaller than the sum of its proper divisors (321231336).

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

145791600 is a wasteful number, since it uses less digits than its factorization.

145791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121514 (or 121503 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 145791600 is about 12074.4192406923. The cubic root of 145791600 is about 526.3130849686.

The spelling of 145791600 in words is "one hundred forty-five million, seven hundred ninety-one thousand, six hundred".