145856700 has 180 divisors, whose sum is σ = 516107592. Its totient is φ = 35337600.

The previous prime is 145856687. The next prime is 145856707. The reversal of 145856700 is 7658541.

145856700 is a `hidden beast` number, since 1 + 4 + 585 + 6 + 70 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145856707) 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 59 ways as a sum of consecutive naturals, for example, 88282 + ... + 89918.

Almost surely, 2^145856700 is an apocalyptic number.

145856700 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 145856700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258053796).

145856700 is an abundant number, since it is smaller than the sum of its proper divisors (370250892).

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

145856700 is a wasteful number, since it uses less digits than its factorization.

145856700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 145856700 is about 12077.1147216543. The cubic root of 145856700 is about 526.3914111165.

The spelling of 145856700 in words is "one hundred forty-five million, eight hundred fifty-six thousand, seven hundred".