145828037940 has 192 divisors, whose sum is σ = 447691345920. Its totient is φ = 35247444480.

The previous prime is 145828037923. The next prime is 145828037941. The reversal of 145828037940 is 49730828541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145828037941) 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, 68430675 + ... + 68432805.

It is an arithmetic number, because the mean of its divisors is an integer number (2331725760).

Almost surely, 2^145828037940 is an apocalyptic number.

145828037940 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 145828037940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223845672960).

145828037940 is an abundant number, since it is smaller than the sum of its proper divisors (301863307980).

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

145828037940 is a wasteful number, since it uses less digits than its factorization.

145828037940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 145828037940 in words is "one hundred forty-five billion, eight hundred twenty-eight million, thirty-seven thousand, nine hundred forty".