155142624 has 288 divisors, whose sum is σ = 530893440. Its totient is φ = 39287808.

The previous prime is 155142623. The next prime is 155142641. The reversal of 155142624 is 426241551.

155142624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 155142591 and 155142600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155142623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2629507 + ... + 2629565.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^155142624 is an apocalyptic number.

155142624 is a gapful number since it is divisible by the number (14) 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 155142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265446720).

155142624 is an abundant number, since it is smaller than the sum of its proper divisors (375750816).

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

155142624 is a wasteful number, since it uses less digits than its factorization.

155142624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 155142624 is about 12455.6261986301. The cubic root of 155142624 is about 537.3332443946. Note that the first 3 decimals are identical.

The spelling of 155142624 in words is "one hundred fifty-five million, one hundred forty-two thousand, six hundred twenty-four".