145849140 has 96 divisors (see below), whose sum is σ = 456812160. Its totient is φ = 38631168.

The previous prime is 145849139. The next prime is 145849157. The reversal of 145849140 is 41948541.

145849140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145849095 and 145849104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87192 + ... + 88848.

It is an arithmetic number, because the mean of its divisors is an integer number (4758460).

Almost surely, 2^145849140 is an apocalyptic number.

145849140 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 145849140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228406080).

145849140 is an abundant number, since it is smaller than the sum of its proper divisors (310963020).

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

145849140 is a wasteful number, since it uses less digits than its factorization.

145849140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 145849140 is about 12076.8017289347. The cubic root of 145849140 is about 526.3823163730.

The spelling of 145849140 in words is "one hundred forty-five million, eight hundred forty-nine thousand, one hundred forty".