157378000 has 80 divisors (see below), whose sum is σ = 409880016. Its totient is φ = 58099200.

The previous prime is 157377977. The next prime is 157378009. The reversal of 157378000 is 873751.

157378000 = T₃₇₅ + T₃₇₆ + ... + T₉₉₈.

157378000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 119333776 + 38044224 = 10924^2 + 6168^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157378009) 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, 22974 + ... + 29026.

Almost surely, 2^157378000 is an apocalyptic number.

157378000 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 157378000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204940008).

157378000 is an abundant number, since it is smaller than the sum of its proper divisors (252502016).

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

157378000 is a wasteful number, since it uses less digits than its factorization.

157378000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6089 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

The square root of 157378000 is about 12545.0388600434. The cubic root of 157378000 is about 539.9016739126.

The spelling of 157378000 in words is "one hundred fifty-seven million, three hundred seventy-eight thousand".