152107900 has 144 divisors (see below), whose sum is σ = 399974400. Its totient is φ = 49109760.

The previous prime is 152107877. The next prime is 152107903. The reversal of 152107900 is 9701251.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152107903) 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, 1197637 + ... + 1197763.

It is an arithmetic number, because the mean of its divisors is an integer number (2777600).

Almost surely, 2^152107900 is an apocalyptic number.

152107900 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 152107900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

152107900 is an abundant number, since it is smaller than the sum of its proper divisors (247866500).

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

152107900 is a wasteful number, since it uses less digits than its factorization.

152107900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 152107900 is about 12333.2031524661. The cubic root of 152107900 is about 533.8065808129.

The spelling of 152107900 in words is "one hundred fifty-two million, one hundred seven thousand, nine hundred".