145971600 has 120 divisors (see below), whose sum is σ = 472535232. Its totient is φ = 38515200.

The previous prime is 145971599. The next prime is 145971607. The reversal of 145971600 is 6179541.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (145971607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123010 + ... + 124190.

Almost surely, 2^145971600 is an apocalyptic number.

145971600 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 145971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236267616).

145971600 is an abundant number, since it is smaller than the sum of its proper divisors (326563632).

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

145971600 is a wasteful number, since it uses less digits than its factorization.

145971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1294 counting only the distinct ones).

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

The square root of 145971600 is about 12081.8707160770. The cubic root of 145971600 is about 526.5295981138.

The spelling of 145971600 in words is "one hundred forty-five million, nine hundred seventy-one thousand, six hundred".