145764043830 has 128 divisors (see below), whose sum is σ = 401529692160. Its totient is φ = 37589650560.

The previous prime is 145764043819. The next prime is 145764043837. The reversal of 145764043830 is 38340467541.

145764043830 is a `hidden beast` number, since 1 + 4 + 576 + 4 + 0 + 43 + 8 + 30 = 666.

It is a super-2 number, since 2×145764043830² (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 not an unprimeable number, because it can be changed into a prime (145764043837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13445172 + ... + 13456008.

It is an arithmetic number, because the mean of its divisors is an integer number (3136950720).

Almost surely, 2^145764043830 is an apocalyptic number.

145764043830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145764043830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200764846080).

145764043830 is an abundant number, since it is smaller than the sum of its proper divisors (255765648330).

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

145764043830 is a wasteful number, since it uses less digits than its factorization.

145764043830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12491 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 145764043830 in words is "one hundred forty-five billion, seven hundred sixty-four million, forty-three thousand, eight hundred thirty".