145814040 has 256 divisors, whose sum is σ = 517104000. Its totient is φ = 36495360.

The previous prime is 145814029. The next prime is 145814041. The reversal of 145814040 is 40418541.

It is a happy number.

145814040 is a `hidden beast` number, since 1 + 4 + 581 + 40 + 40 = 666.

It is a super-2 number, since 2×145814040² = 42523468522243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145813995 and 145814013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145814041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1638316 + ... + 1638404.

Almost surely, 2^145814040 is an apocalyptic number.

145814040 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 145814040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552000).

145814040 is an abundant number, since it is smaller than the sum of its proper divisors (371289960).

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

145814040 is a wasteful number, since it uses less digits than its factorization.

145814040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145814040 is about 12075.3484421776. The cubic root of 145814040 is about 526.3400866608.

The spelling of 145814040 in words is "one hundred forty-five million, eight hundred fourteen thousand, forty".