145877840 has 80 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 56732160.

The previous prime is 145877819. The next prime is 145877857. The reversal of 145877840 is 48778541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 145877791 and 145877800.

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 15 ways as a sum of consecutive naturals, for example, 814871 + ... + 815049.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2^145877840 is an apocalyptic number.

145877840 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 145877840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

145877840 is an abundant number, since it is smaller than the sum of its proper divisors (202849840).

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

145877840 is a wasteful number, since it uses less digits than its factorization.

145877840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 44.

The square root of 145877840 is about 12077.9898989857. The cubic root of 145877840 is about 526.4168410462.

The spelling of 145877840 in words is "one hundred forty-five million, eight hundred seventy-seven thousand, eight hundred forty".