155852640 has 192 divisors, whose sum is σ = 558835200. Its totient is φ = 40545792.

The previous prime is 155852633. The next prime is 155852647. The reversal of 155852640 is 46258551.

155852640 is a `hidden beast` number, since 1 + 5 + 5 + 8 + 5 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (155852633) and next prime (155852647).

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 = 155852595 and 155852604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155852647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185341 + ... + 186179.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^155852640 is an apocalyptic number.

155852640 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 155852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

155852640 is an abundant number, since it is smaller than the sum of its proper divisors (402982560).

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

155852640 is a wasteful number, since it uses less digits than its factorization.

155852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 155852640 is about 12484.0954818521. The cubic root of 155852640 is about 538.1517056275.

It can be divided in two parts, 15585 and 2640, that added together give a square (18225 = 135²).

The spelling of 155852640 in words is "one hundred fifty-five million, eight hundred fifty-two thousand, six hundred forty".