155536920 has 384 divisors, whose sum is σ = 654151680. Its totient is φ = 31104000.

The previous prime is 155536883. The next prime is 155536957. The reversal of 155536920 is 29635551.

155536920 is a `hidden beast` number, since 15 + 553 + 6 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (155536883) and next prime (155536957).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 859230 + ... + 859410.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^155536920 is an apocalyptic number.

155536920 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 155536920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327075840).

155536920 is an abundant number, since it is smaller than the sum of its proper divisors (498614760).

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

155536920 is a wasteful number, since it uses less digits than its factorization.

155536920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 155536920 is about 12471.4441826117. Note that the first 3 decimals coincide. The cubic root of 155536920 is about 537.7880712892.

The spelling of 155536920 in words is "one hundred fifty-five million, five hundred thirty-six thousand, nine hundred twenty".