153742050 has 480 divisors, whose sum is σ = 583355520. Its totient is φ = 29030400.

The previous prime is 153742007. The next prime is 153742073. The reversal of 153742050 is 50247351.

It is a happy number.

153742050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5301436 + ... + 5301464.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2^153742050 is an apocalyptic number.

153742050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153742050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

153742050 is an abundant number, since it is smaller than the sum of its proper divisors (429613470).

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

153742050 is a wasteful number, since it uses less digits than its factorization.

153742050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 153742050 is about 12399.2761885523. The cubic root of 153742050 is about 535.7114011273.

It can be divided in two parts, 15374 and 2050, that added together give a square (17424 = 132²).

The spelling of 153742050 in words is "one hundred fifty-three million, seven hundred forty-two thousand, fifty".