147957120 has 192 divisors, whose sum is σ = 541326240. Its totient is φ = 37109760.

The previous prime is 147957119. The next prime is 147957133. The reversal of 147957120 is 21759741.

It is a happy number.

147957120 is a `hidden beast` number, since 14 + 79 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97165 + ... + 98675.

Almost surely, 2^147957120 is an apocalyptic number.

147957120 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 147957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270663120).

147957120 is an abundant number, since it is smaller than the sum of its proper divisors (393369120).

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

147957120 is a wasteful number, since it uses less digits than its factorization.

147957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 147957120 is about 12163.7625757822. The cubic root of 147957120 is about 528.9061574549.

The spelling of 147957120 in words is "one hundred forty-seven million, nine hundred fifty-seven thousand, one hundred twenty".