145380935700 has 576 divisors, whose sum is σ = 627533168640. Its totient is φ = 27884736000.

The previous prime is 145380935611. The next prime is 145380935731. The reversal of 145380935700 is 7539083541.

145380935700 is a `hidden beast` number, since 1 + 45 + 38 + 0 + 9 + 3 + 570 + 0 = 666.

It is a super-2 number, since 2×145380935700² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 2675805 + ... + 2729595.

Almost surely, 2^145380935700 is an apocalyptic number.

145380935700 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 145380935700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313766584320).

145380935700 is an abundant number, since it is smaller than the sum of its proper divisors (482152232940).

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

145380935700 is a wasteful number, since it uses less digits than its factorization.

145380935700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53845 (or 53832 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 145380935700 in words is "one hundred forty-five billion, three hundred eighty million, nine hundred thirty-five thousand, seven hundred".