152038000 has 80 divisors (see below), whose sum is σ = 387073440. Its totient is φ = 57600000.

The previous prime is 152037971. The next prime is 152038001. The reversal of 152038000 is 830251.

It is a happy number.

152038000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152038001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36000 + ... + 40000.

It is an arithmetic number, because the mean of its divisors is an integer number (4838418).

Almost surely, 2^152038000 is an apocalyptic number.

152038000 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 152038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536720).

152038000 is an abundant number, since it is smaller than the sum of its proper divisors (235035440).

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

152038000 is a wasteful number, since it uses less digits than its factorization.

152038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 152038000 is about 12330.3690131318. The cubic root of 152038000 is about 533.7247993996.

152038000 divided by its sum of digits (19) gives a triangular number (8002000 = T₄₀₀₀).

Adding to 152038000 its reverse (830251), we get a palindrome (152868251).

It can be divided in two parts, 1520 and 38000, that multiplied together give a square (57760000 = 7600²).

The spelling of 152038000 in words is "one hundred fifty-two million, thirty-eight thousand".