145857040 has 80 divisors (see below), whose sum is σ = 389975040. Its totient is φ = 49697280.

The previous prime is 145857031. The next prime is 145857067. The reversal of 145857040 is 40758541.

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

It is a super-2 number, since 2×145857040² = 42548552235123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145856987 and 145857005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100641 + ... + 102079.

It is an arithmetic number, because the mean of its divisors is an integer number (4874688).

Almost surely, 2^145857040 is an apocalyptic number.

145857040 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 145857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

145857040 is an abundant number, since it is smaller than the sum of its proper divisors (244118000).

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

145857040 is a wasteful number, since it uses less digits than its factorization.

145857040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 145857040 is about 12077.1287978559. The cubic root of 145857040 is about 526.3918201320.

The spelling of 145857040 in words is "one hundred forty-five million, eight hundred fifty-seven thousand, forty".