145851840 has 280 divisors, whose sum is σ = 550999152. Its totient is φ = 36495360.

The previous prime is 145851799. The next prime is 145851841. The reversal of 145851840 is 48158541.

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 = 145851795 and 145851804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145851841) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440475 + ... + 440805.

Almost surely, 2^145851840 is an apocalyptic number.

145851840 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 145851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275499576).

145851840 is an abundant number, since it is smaller than the sum of its proper divisors (405147312).

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

145851840 is a wasteful number, since it uses less digits than its factorization.

145851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 145851840 is about 12076.9135129800. The cubic root of 145851840 is about 526.3855645318.

The spelling of 145851840 in words is "one hundred forty-five million, eight hundred fifty-one thousand, eight hundred forty".