145350040 has 96 divisors (see below), whose sum is σ = 366282000. Its totient is φ = 51856640.

The previous prime is 145349989. The next prime is 145350061. The reversal of 145350040 is 40053541.

145350040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145350040² = 42253268256003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 145349993 and 145350020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285306 + ... + 285814.

Almost surely, 2^145350040 is an apocalyptic number.

145350040 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 145350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183141000).

145350040 is an abundant number, since it is smaller than the sum of its proper divisors (220931960).

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

145350040 is a wasteful number, since it uses less digits than its factorization.

145350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 145350040 is about 12056.1204373546. The cubic root of 145350040 is about 525.7811983030.

The spelling of 145350040 in words is "one hundred forty-five million, three hundred fifty thousand, forty".