145872207936 has 672 divisors, whose sum is σ = 543019975680. Its totient is φ = 37798078464.

The previous prime is 145872207917. The next prime is 145872207937. The reversal of 145872207936 is 639702278541.

It is a happy number.

145872207936 is a `hidden beast` number, since 1 + 4 + 587 + 2 + 20 + 7 + 9 + 36 = 666.

145872207936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (145872207937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83497815 + ... + 83499561.

It is an arithmetic number, because the mean of its divisors is an integer number (808065440).

It is a 1-persistent number, because it is pandigital, but 2⋅145872207936 = 291744415872 is not.

Almost surely, 2^145872207936 is an apocalyptic number.

145872207936 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 145872207936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271509987840).

145872207936 is an abundant number, since it is smaller than the sum of its proper divisors (397147767744).

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

145872207936 is a wasteful number, since it uses less digits than its factorization.

145872207936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 145872207936 in words is "one hundred forty-five billion, eight hundred seventy-two million, two hundred seven thousand, nine hundred thirty-six".