145367640 has 96 divisors (see below), whose sum is σ = 515408400. Its totient is φ = 35239680.

The previous prime is 145367609. The next prime is 145367653. The reversal of 145367640 is 46763541.

It is a happy number.

145367640 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 6 + 7 + 640 = 666.

It is a super-2 number, since 2×145367640² = 42263501518339200, which contains 22 as substring.

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 = 145367595 and 145367604.

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, 14395 + ... + 22314.

Almost surely, 2^145367640 is an apocalyptic number.

145367640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145367640 is an abundant number, since it is smaller than the sum of its proper divisors (370040760).

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

145367640 is a wasteful number, since it uses less digits than its factorization.

145367640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36737 (or 36730 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 145367640 is about 12056.8503349755. The cubic root of 145367640 is about 525.8024192021.

The spelling of 145367640 in words is "one hundred forty-five million, three hundred sixty-seven thousand, six hundred forty".