145700016 has 160 divisors (see below), whose sum is σ = 476160000. Its totient is φ = 37290240.

The previous prime is 145700011. The next prime is 145700017. The reversal of 145700016 is 610007541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145700011) 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 31 ways as a sum of consecutive naturals, for example, 291735 + ... + 292233.

It is an arithmetic number, because the mean of its divisors is an integer number (2976000).

Almost surely, 2^145700016 is an apocalyptic number.

145700016 is a gapful number since it is divisible by the number (16) 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 145700016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238080000).

145700016 is an abundant number, since it is smaller than the sum of its proper divisors (330459984).

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

145700016 is a wasteful number, since it uses less digits than its factorization.

145700016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 145700016 is about 12070.6261643711. The cubic root of 145700016 is about 526.2028546711.

Adding to 145700016 its reverse (610007541), we get a palindrome (755707557).

The spelling of 145700016 in words is "one hundred forty-five million, seven hundred thousand, sixteen".