145693840 has 40 divisors (see below), whose sum is σ = 339585408. Its totient is φ = 58131840.

The previous prime is 145693837. The next prime is 145693841. The reversal of 145693840 is 48396541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 145693793 and 145693802.

It is not an unprimeable number, because it can be changed into a prime (145693841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33385 + ... + 37495.

Almost surely, 2^145693840 is an apocalyptic number.

145693840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145693840 is an abundant number, since it is smaller than the sum of its proper divisors (193891568).

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

145693840 is a wasteful number, since it uses less digits than its factorization.

145693840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 145693840 is about 12070.3703340038. The cubic root of 145693840 is about 526.1954195890.

The spelling of 145693840 in words is "one hundred forty-five million, six hundred ninety-three thousand, eight hundred forty".