145367040 has 336 divisors, whose sum is σ = 575633088. Its totient is φ = 30670848.

The previous prime is 145367011. The next prime is 145367041. The reversal of 145367040 is 40763541.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×145367040² = 42263152636723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145366989 and 145367007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145367041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11182074 + ... + 11182086.

Almost surely, 2^145367040 is an apocalyptic number.

145367040 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 145367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287816544).

145367040 is an abundant number, since it is smaller than the sum of its proper divisors (430266048).

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

145367040 is an equidigital number, since it uses as much as digits as its factorization.

145367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 145367040 is about 12056.8254528296. The cubic root of 145367040 is about 525.8016957906.

The spelling of 145367040 in words is "one hundred forty-five million, three hundred sixty-seven thousand, forty".